-20y=2y^2

Solution for -20y=2y^2 equation:

Simplifying
-20y = 2y2

Solving
-20y = 2y2

Solving for variable 'y'.

Combine like terms: 2y2 + -2y2 = 0
-20y + -2y2 = 0

Factor out the Greatest Common Factor (GCF), '-2y'.
-2y(10 + 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 '(10 + y)' equal to zero and attempt to solve:

Simplifying
10 + y = 0

Solving
10 + y = 0

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

Add '-10' to each side of the equation.
10 + -10 + y = 0 + -10

Combine like terms: 10 + -10 = 0
0 + y = 0 + -10
y = 0 + -10

Combine like terms: 0 + -10 = -10
y = -10

Simplifying
y = -10
Solution
y = {0, -10}