F2L 7

Algorithm

F' U' F R U R'

6 moves. The letters stand for the faces: review the notation.

The four slots

Same case, with the cube held with another face in front: the pair moves to another slot and the algorithm is rewritten, like on SpeedCubeDB. You can also rotate the cube to bring green back to the front, then do the algorithm above.

Front left (orange in front; or y' then the algorithm above)

L' U' L F U F'

Back left (blue in front; or y2 then the algorithm above)

B' U' B L U L'

Back right (red in front; or y then the algorithm above)

R' U' R B U B'

Other verified algorithms for the right slot:

R U R' U R U' R'

R U R2 F R F'

R U R' U2 R U2 R'

Set up this case

From a solved cube, yellow on top and green in front, do this scramble: you get exactly this case.

R U' R' F' U F

Full F2L: other cases

All 41 possible situations for a pair, with the shortest solution in R, U and F. Sorted from simplest to longest: first both pieces on top (1 to 24), then the edge already in its slot (25 to 30), the corner already in its slot (31 to 36), and finally both in the slot but misoriented (37 to 41). If you know a more comfortable version, save it from the player.