Given you can't solve a cube, I'm not sure if
will help.
The simplest way to solve your problem is to arrange the center caps in the following manner:
Yellow on top
White on bottom
Red on left
Orange on right
Green in front
Blue in back
Make sure the other pieces line up with those colors too...
Okay, sorry to break up the great Petrus-W work but I want to put all the changes to my method (now christened the "Double-Square" method) in one place. So, here we go:
As of now, there are two branches of the method: A speedsolving (pro) method and an intermediate method.
Speedsolving...
Wow, I feel like history has just been made. The wiki page makes Petrus-W seem really official!
Which brings me to another point... I need a name for my method.
Okay, I've gotten "Don't insert an oriented edge" a few times now. I clearly must not be familiar with EO (I'm a square-1 cuber and only got into 3x3 recently). Suppose the edge in that slot is oriented incorrectly. What would I do to make it correct? Would I do that before or during the EO...