Mabill

Mabill is the het ship between Bill Cipher and Mabel Pines from the Gravity Falls fandom.

Canon
Mabel and Bill are similar in the respect that they both like to have fun (although Bill's idea of fun is chaos).

Mabel goes into "Sweatertown" in distress, and this is when Blendin Blandin approaches her and offers Mabel a way to halt time so summer wouldn't end. Blendin asks Mabel for the Rift in exchange. Mabel, not knowing what it truly is, gives it to Blendin. However, Blendin destroys it as soon as it's handed to him. Blendin starts laughing maniacally and reveals he was being possessed by Bill Cipher. Mabel is shocked by what she had done, but she is instantly put to sleep. His plan succeeding, Bill emerges from Blandin's body as Mabel lays unconscious on the ground. Despite of this, Bill did not force Mabel to survive through Weirdmageddon; instead, he gave her paradise. Their original deal was: if Mabel gave him the rift, she'd get a few more days of summer. Bill gave her an eternal paradise filled with creatures from her imagination.

In "Weirdmageddon Part 1," Mabel is encased inside a pink prison bubble by Bill and taken to the floating cliffs in Gravity Falls. Dipper, Wendy, and Soos eventually reach the bubble and go inside to find Mabel. Later, the twins reunite and rally the survivors into fighting back against Bill.

Mabel helped pilot the Shacktron during the fight with Bill's hench maniacs and is part of the rescue party sent in to save Ford and the townsfolk captured by Bill. Ford explains that the other way to defeat Bill is the Zodiac which needs 10 people to hold hands to destroy Bill. Mabel represented the Shooting Star.

Later on, Bill turns everybody but the Pines family into tapestries and threatens Dipper and Mabel's lives unless Ford tells him how to get rid of the barrier that's preventing him from leaving the town. When Bill tries to threaten Mabel, she puts spray paint in his eye to distract him as she and Dipper attempt to escape while Bill furiously chases after them. When the twins reach a dead-end, Mabel grows her hand using Dipper's flashlight in order to break the wall. However, they stop to see that everybody in the Shacktron has been captured by Bill's hench-maniacs. At this point, Bill manages to capture them.

In one moment, Bill is on the verge of killing one of the twins (assumed to be Mabel herself because his eye stopped on the shooting star image and he was about to snap his fingers) when Ford says he will allow Bill into his mind in exchange for letting his family go. Bill accepts and enters Ford's mind. However, Bill gets tricked as he actually entered Stan's mind in the brothers' plan to destroy Bill. The plan works and the town returns to normal.

Fanon
Mabill is one of the most popular ships in the Gravity Falls fandom. Although it is also criticized by many in the fandom, it is a considerably popular ship for both characters, it's not as popular as BillDip, but there are also many people who like it and find it interesting.

Depictions of how Bill and Mabel may interact can range from endearing narratives of Mabel teaching Bill what love is or making him her new 'summer romance' and interactions between them are commonly lighthearted, such as goofing off, playing pranks, doing silly things, and laughing together. Mabel is also shown to be understanding and sympathetic, so fans believe if a Pines were to be kind to Bill and attempt to redeem him, it would be Mabel. However, the ship can be portrayed in a darker light as well, where Bill's villainous nature comes into play: such as manipulating the notably trusting Mabel, pulling her into a one-sided romance for his own personal gain, risqué imagery of gore and degenerate consequences of Mabel's decision to date a demon. There is also the highly popular AU named Reverse Falls. This AU is also sometimes known as Depravity Falls or Reverse Pines. The characters are complete opposites from their original personalities and their roles are swapped, making Gideon and Pacifica the heroes and Mabel and Dipper the villains. Reverse Mabel Pines, also known as Mabel Gleeful, and Reverse Bill Cipher, commonly known as Will Cipher. Their ship name is MaWill.

When Mabel has a hard time with getting Gideon's attention,she goes into "yandere" mode, after that, she realizes that she needs to move on and focus on world domination. But Dipper starts getting control on the Mabel, who is now vulnerable, but she also spends more time with Will, who is trying to console her. Over time they fall for each other, but they never told the other. (This is one of the ways the ship is laid out, mostly in fanfictions, it is based on the author how she/he wants the ship to happen when it does all persons who ship this ship can celebrate).

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Trivia

 * Bill has canonically said in "Dipper and Mabel's Guide to Mystery and Nonstop Fun" that he thinks Mabel is an asshole.