**PLL**algorithems finishesthe cube by permutating the last layer. All of the last layer pieces are moved to their proper locations. The red arrows show movements of the edge pieces, and the blue arrows show the movements of the corner pieces. For each PLL there will be different algorithms to solve the cube.

R2' U R U R' U' R' U' R' U R' M2 U' M' U2 M U' M2 | |

R2 U' R' U' R U R U R U' R R U R' U R U' R' U R U2 | |

R U R' U R' U' R' U R U' R' U' R2 U R U2 M2' U M2' U M' U2 M2' U2 M' | |

R2 U2 R U2 R2 U2 R2 U2 R U2 R2 M2 U M2 U2 M2 U M2 | |

(x) R' U R' D2 R U' R' D2 l2 (x) (x') R' D R' U2 R D' R' U2 R2 (x) | |

(x) R2 D2 R U R' D2 R U' R (x') R B' R F2 R' B R F2 R2 | |

(y x) U R' U' L U R U' r2 U' R U L U' R' U (x y') (x') R U' R' D R U R' D' R U R' D R U' R' D' (x) | |

R U2' R' U2 R B' R' U' R U l U R2' F (x) (y') R U R' F' R U2 R' U2 R' F R U R U2 R' U' | |

R' U2 R U2 R' F R U R' U' R' F' R2 U' R' U2 R U2 R' F R U R' U' R' F' R2' U' | |

R U R' F' R U R' U' R' F R2 U' R' U' | |

F2' L' U' r U2' l' U R' U' R2 (x2) | |

R U' L d2 L' U L R' U' R U2 r' F l' U' (y2) | |

L' U R' U2' L U' L' R U R' U2' L U' R U' | |

R' U R U' R2 F' U' F U (x) R U R' U' R2 B' (x') | |

R U R' U' R' F R2 U' R' U' R U R' F' | |

R' U R' U' (y) R' F' R2 U' R' U R' F R F | |

F R U' R' U' R U R' F' R U R' U' l' U R U' (x') | |

R2' u R' U R' U' R u' R2 (y') R' U R (y) | |

R2 u' R U' R U R' u R2' (y) R U' R' (y') | |

R U R' (y') R2 u' R U' R' U R' u R2 (y) | |

L' U' L (y') R2' u R' U R U' R u' R2 (y) |