F2L: Edge at the front, green on top

Algorithm

R U' R' U R U' R' U2 R U' R'

11 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)

F U' F' U F U' F' U2 F U' F'

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

L U' L' U L U' L' U2 L U' L'

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

B U' B' U B U' B' U2 B U' B'

Other verified algorithms for the right slot:

R' U2 R2 U R2 U R

U F' U2 F U' R U R'

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

Basic F2L: other cases

The diagrams show the green-orange pair that goes into the front-right slot. Grey pieces don’t matter. Start with the first four: they’re the basic inserts, and every other case comes back to them.