9y^2-6y=3y

Solution for 9y^2-6y=3y equation:

Simplifying
9y2 + -6y = 3y

Reorder the terms:
-6y + 9y2 = 3y

Solving
-6y + 9y2 = 3y

Solving for variable 'y'.

Reorder the terms:
-6y + -3y + 9y2 = 3y + -3y

Combine like terms: -6y + -3y = -9y
-9y + 9y2 = 3y + -3y

Combine like terms: 3y + -3y = 0
-9y + 9y2 = 0

Factor out the Greatest Common Factor (GCF), '9y'.
9y(-1 + y) = 0

Ignore the factor 9.
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 '(-1 + y)' equal to zero and attempt to solve:

Simplifying
-1 + y = 0

Solving
-1 + y = 0

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

Add '1' to each side of the equation.
-1 + 1 + y = 0 + 1

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

Combine like terms: 0 + 1 = 1
y = 1

Simplifying
y = 1
Solution
y = {0, 1}