y^3=ay

Solution for y^3=ay equation:

Simplifying
y3 = ay

Solving
y3 = ay

Solving for variable 'y'.

Reorder the terms:
-1ay + y3 = ay + -1ay

Combine like terms: ay + -1ay = 0
-1ay + y3 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-1a + y2) = 0

Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

Move all terms containing y to the left, all other terms to the right.

Simplifying
y = 0
Subproblem 2
Set the factor '(-1a + y2)' equal to zero and attempt to solve:

Simplifying
-1a + y2 = 0

Solving
-1a + y2 = 0

Move all terms containing y to the left, all other terms to the right.

Add 'a' to each side of the equation.
-1a + a + y2 = 0 + a

Combine like terms: -1a + a = 0
0 + y2 = 0 + a
y2 = 0 + a
Remove the zero:
y2 = a

Simplifying
y2 = a

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
y = {0}