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The method described in these pages always leads to a solved Cube. It’s not the fastest or most efficient approach, but it does consist of fairly simple steps which are easy to memorize.
The steps need to be executed in the order. Solving the top layer disregards whatever happens to the other layers, so should be done first. Solving the middle layer ignores the final layer, so should be done second.
After that, the edges of the final layer are up. Rotating them to their correct orientation disregards their position, so should be third. Getting the edge blocks of the final layer in their correct positions leaves their orientation intact, so can and should be done after flipping them, so fourth.
The vertices of the final layer are last. First, get them in their correct locations. This leaves the edges of the final layer intact, so can be done after those. Finally, the vertices need to be turned to their correct orientation. This is done while leaving everything else intact, so should be the last step.
These are the steps:
The twist sequences are written according to these conventions.