You can tell that an edge piece that has green on one side and orange on the other side goes in the middle of the picture above in order for it to look like this:

Look at the bottom face on your cube. Figure out what your bottom color will be; it should be the same color of the center sticker on the bottom.

Now look at the edge pieces on the bottom and try to find one that does not have the bottom color on it. That means that this edge piece should go in the middle row.

The next two algorithms show you how to move a piece from the bottom row to the middle row. Keep in mind that the colors given are only examples of what the color scheme on your cube could possibly look like. (red is front, green is right)

...then pick a random piece from the bottom row. Pretend that this random piece from the bottom row is the red green edge piece and solve it. Once you put this wrong piece in the red-green's spot, then the real red green piece will fall back to the bottom row. Once the real red green piece is in the bottom row, then you can position it in a normal fashion using the steps above.

Now, how about that...