2y^2=8y

Solution for 2y^2=8y equation:

Simplifying
2y2 = 8y

Solving
2y2 = 8y

Solving for variable 'y'.

Reorder the terms:
-8y + 2y2 = 8y + -8y

Combine like terms: 8y + -8y = 0
-8y + 2y2 = 0

Factor out the Greatest Common Factor (GCF), '2y'.
2y(-4 + y) = 0

Ignore the factor 2.
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 '(-4 + y)' equal to zero and attempt to solve:

Simplifying
-4 + y = 0

Solving
-4 + y = 0

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

Add '4' to each side of the equation.
-4 + 4 + y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + y = 0 + 4
y = 0 + 4

Combine like terms: 0 + 4 = 4
y = 4

Simplifying
y = 4
Solution
y = {0, 4}