Cube solution: 3×3×3 Corners first

A standard Rubik’s Cube has the yellow side opposite the white side.
YAW means to rotate the middle horizontal slice (sometimes called the equator slice) to the left.
PITCH means to rotate the middle vertical slice forward (top moves away from you).
Correct position means that a corner or edge is in the correct position with reference to the centre squares, but may be the wrong way round.
Correct orientation means that a corner or edge has colours matching the adjacent centre squares.

Position and orient white corners

Position yellow corners

Hold cube with white side down.

Yaw top edge so that at least two corners are in the correct position (i.e. regardless of orientation), then choose from one of the following conditions:

If all four corners are already in the correct position, go to Stage 3.
If two adjacent corners are in the correct position:
1. Orient the cube so that the correct corners are top right and bottom right when the cube is viewed from above.
2. Perform the following moves:
  1. F, R, F′, R′
  2. U1
  3. R, F, R′, F′
If two diagonal corners are in the correct position:
1. Orient the cube so that a correct corner is top right when the cube is viewed from above.
2. Perform the following moves:
  1. F1, R1, F′, R′
  2. U2
  3. R1, F1, R′, F′

Orient yellow corners

There will be zero, one, two, or four corners correctly oriented.

If all four corners are already correctly oriented, go to stage 4.

If two corners are correct:

Turn the upper face so that the top right position shows yellow at the front, which should be the colour on top.
R′, D, R, F, D, F′
Turn the upper face so that the top right position shows yellow on the right side, which should be the colour on top.
F, D′, F′, R′, D′, R

If zero corners are correct, fix them two at a time using the steps for where two corners are correct.

If only one corner is correct:

Turn the upper face so that the correct corner is top left.
Perform the following moves:
1. R′, D, R, F, D, F′
2. U
3. F, D′, F′, R′, D′, R
There will now be two corners in the correct orientation; proceed for two corners correct.

Solve white and yellow edges

Position middle layer edges

Yaw middle layer so that at least two edges are in the correct position.

If all four edges are already in the correct position, go to stage 6.

If two adjacent corners are in the correct position:

Orient the cube so that the correct corners are top right and bottom right when the cube is viewed from above.
F2, Yaw 1, F2, Yaw 2

If two diagonal corners are in the correct position:

Orient the cube so that a correct corner is top right when the cube is viewed from above.
F2, Yaw 2, F2, Yaw -1

Orient remaining edges

There will be zero, two, or four edges in correct orientation.

If all four edges are in the correct position, correct the four spot pattern if required:

Pitch 2, Yaw 1, Pitch 2, Yaw -1

Cube solved.

If two or four edges are flipped:

Hold the cube so that a flipped edge is in the front upper position (i.e. the edge position which is common to the front and upper faces). The white and yellow faces will be at left and right.
U′, F, R′, U, F′
Perform a pitch slice to bring any other edge which is flipped into the front upper position.
F, U′, R, F′, U1