-2y=y^2

Solution for -2y=y^2 equation:

Simplifying
-2y = y2

Solving
-2y = y2

Solving for variable 'y'.

Combine like terms: y2 + -1y2 = 0
-2y + -1y2 = 0

Factor out the Greatest Common Factor (GCF), '-1y'.
-1y(2 + y) = 0

Ignore the factor -1.
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}