Finishing the solution of the Rubik's Cube
We are very close to finish solving our Rubik's Cube.
At this point only the yellow corners remained unsolved which we are going to sort out in two steps.
First we have to relocate them (6.) and we'll orient them in the final step (7.).
6. Position Last Layer Corners
We use a trick to cycle the corners marked with the numbers on the image above, while the Front-Right-Up corner, marked with "OK" stays in place.
U R U' L' U R' U' L
When you reach this point in the solution look for a corner piece which is in the right place. If you found one then reorient the cube in your hands so this specific piece is on the OK position and perform the formula. In some cases you have to execute it twice.
If there's no yellow corner on the right spot then do the algorithm to reorganize the corners and then look around again because there must be a good one this time.
An interesting fact is that in this step the number of pieces in the right spot can only be 0, 1 or 4.
7. Orient last layer corners
In the last step every piece is where it's supposed to be, but the yellow corners are oriented wrong.
To complete our cube we will use the same algorithm we used to solve the first layer corners but with a little trick:
R' D' R D
Start by holding the cube in your hand having a misaligned yellow corner in the highlighted Front-Right-Up spot (see image).
Repeat the R' D' R D algorithm until this piece comes to the correct position with the yellow sticker upwards.
Turning only the Up face, move another wrong yellow corner to the highlighted spot and repeat the R' D' R D algorithm until that yellow piece is oriented correctly.
Move other misaligned yellow corners to the marked spot one by one and do the formula until all corners are solved.
The puzzle might seem to be scrambled between the moves but don't worry because everything will come together when all yellow corners are oriented properly.
The example below demonstrates a case when all corners are oriented the wrong way.
It moves the yellow corners one by one to the Front-Right-Up space and performs the R' D' R D formula until they're all fixed.
Press the Play button to see the animation:
Here are all moves together to help you practice.
How to solve your Rubik's Cube
Front, Right, Up, Left
L – Left clockwise
F' – Front inverted
R2 – Double right (180°)
1,2. White Face
Cross, then corners.
3. Middle layer
Right: U R U' R' U' F' U F
Left: U' L' U L U F U' F'
4. Top Cross
F R U R' U' F'
5. Swap Top Edges
R U R' U R U2 R' U
6. Position Top Corners
U R U' L' U R' U' L
7. Orient Top Corners
Move the misaligned yellow corners one by one to the highlighted position rotating the top layer and do R' D' R D until the current piece is solved.