8y*8y*8y=512y

Solution for 8y*8y*8y=512y equation:

Simplifying
8y * 8y * 8y = 512y

Reorder the terms for easier multiplication:
8 * 8 * 8y * y * y = 512y

Multiply 8 * 8
64 * 8y * y * y = 512y

Multiply 64 * 8
512y * y * y = 512y

Multiply y * y
512y2 * y = 512y

Multiply y2 * y
512y3 = 512y

Solving
512y3 = 512y

Solving for variable 'y'.

Reorder the terms:
-512y + 512y3 = 512y + -512y

Combine like terms: 512y + -512y = 0
-512y + 512y3 = 0

Factor out the Greatest Common Factor (GCF), '512y'.
512y(-1 + y2) = 0

Factor a difference between two squares.
512y((1 + y)(-1 + y)) = 0

Ignore the factor 512.
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 '(1 + y)' equal to zero and attempt to solve:

Simplifying
1 + y = 0

Solving
1 + y = 0

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

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

Combine like terms: 1 + -1 = 0
0 + y = 0 + -1
y = 0 + -1

Combine like terms: 0 + -1 = -1
y = -1

Simplifying
y = -1
Subproblem 3
Set the factor '(-1 + y)' equal to zero and attempt to solve:

Simplifying
-1 + y = 0

Solving
-1 + y = 0

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

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

Combine like terms: -1 + 1 = 0
0 + y = 0 + 1
y = 0 + 1

Combine like terms: 0 + 1 = 1
y = 1

Simplifying
y = 1
Solution
y = {0, -1, 1}