y^2=2y

Solution for y^2=2y equation:

Simplifying
y2 = 2y

Solving
y2 = 2y

Solving for variable 'y'.

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

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

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