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In this step we are going to move corner cubies to their correct corners on the last layer.
By correct I mean that each corner cubie needs to be moved to the corner it is supposed to be, but the colors could be on the wrong sides.
Our goal is to move corner cubies to their respective corners on the last layer. When you have completed this step your Rubik's cube should look something like the following:
Note that every corner cubie is in the correct corner. Some have correct colors on their sides; others don't. Don't worry if any corner cubie's sides need to be switched. We will fix that in the next step.
Let's do it!
First you can rotate the last layer to see if you get lucky. Otherwise, you only need to know one algorithm to swap two corners facing you. As you can see they should be swapped to be in the correct place.
B U' F' U B' U' F U2
As you can see from the result of running the above animation, the corners are at the right place but the colors are on different sides. This is fine. This algorithm is enough for every possible configuration, but sometimes you need to perform it more than once. Perform as many times as you need to get this right. If you are confused, write down what needs to be swapped and the solution will come.
◀ Form a Cross on Last LayerOrient Corners on Last Layer ▶