One Question

X = rotate cube clockwise on X axis (roll cube away from you one face)
X' = opposite

X makes the Front face the Up face, X' makes the Back face the Up face.

Y = Rotate cup clockwise on Y axis (roll cube to the left)
Y' = opposite

Y = Right face becomes Front face
Y' = Left face becomes Front face.
 
Cube rotations are usually typed in lower case: x,y,z. Uppercase X and Y are sometimes used to denote move sequences, for example X Y X' Y' is a commutator (where X could be R U R' and Y could be D, for example).
 
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