8y^2=16y

Solution for 8y^2=16y equation:

Simplifying
8y2 = 16y

Solving
8y2 = 16y

Solving for variable 'y'.

Reorder the terms:
-16y + 8y2 = 16y + -16y

Combine like terms: 16y + -16y = 0
-16y + 8y2 = 0

Factor out the Greatest Common Factor (GCF), '8y'.
8y(-2 + y) = 0

Ignore the factor 8.
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 '(-2 + y)' equal to zero and attempt to solve:

Simplifying
-2 + y = 0

Solving
-2 + y = 0

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

Add '2' to each side of the equation.
-2 + 2 + y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + y = 0 + 2
y = 0 + 2

Combine like terms: 0 + 2 = 2
y = 2

Simplifying
y = 2
Solution
y = {0, 2}