Programming a Rubik's Cube?

Hey there. I've been trying to program a Rubik's Cube. I've got it pretty much done, but while reading how to solve them, I read that the pieces have opposites. One site said that if a face has a red piece, the piece in the same position on the opposite side of the cube will be white. The problem is: my game randomizes the pieces so there's no pattern in it. Is it still possible to solve a cube with no pattern or will I have to start re-programming?

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