-6y^2=5y

Solution for -6y^2=5y equation:

Simplifying
-6y2 = 5y

Solving
-6y2 = 5y

Solving for variable 'y'.

Reorder the terms:
-5y + -6y2 = 5y + -5y

Combine like terms: 5y + -5y = 0
-5y + -6y2 = 0

Factor out the Greatest Common Factor (GCF), '-1y'.
-1y(5 + 6y) = 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 '(5 + 6y)' equal to zero and attempt to solve:

Simplifying
5 + 6y = 0

Solving
5 + 6y = 0

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

Add '-5' to each side of the equation.
5 + -5 + 6y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 6y = 0 + -5
6y = 0 + -5

Combine like terms: 0 + -5 = -5
6y = -5

Divide each side by '6'.
y = -0.8333333333

Simplifying
y = -0.8333333333
Solution
y = {0, -0.8333333333}