The last edges
One algorithm, and the cube is solved.
The very last step. Three edges need to trade places. Find the edge that's already right, with its side color matching the center below it. Hold it at the back. R, U prime, R, U, R, U, R, U prime, R prime, U prime, R two. Solved. If it isn't solved after once, do it again. And if no edge is right yet, do it once from any side, and one will be.
This is it. One edge is already right, at the back. Finish the cube.
You solved the cube.
One more. This time it takes two rounds.
Solved again.