6y(3y+4)-3y(4y-4)=

Solution for 6y(3y+4)-3y(4y-4)= equation:

Simplifying
6y(3y + 4) + -3y(4y + -4) = 0

Reorder the terms:
6y(4 + 3y) + -3y(4y + -4) = 0
(4 * 6y + 3y * 6y) + -3y(4y + -4) = 0
(24y + 18y2) + -3y(4y + -4) = 0

Reorder the terms:
24y + 18y2 + -3y(-4 + 4y) = 0
24y + 18y2 + (-4 * -3y + 4y * -3y) = 0
24y + 18y2 + (12y + -12y2) = 0

Reorder the terms:
24y + 12y + 18y2 + -12y2 = 0

Combine like terms: 24y + 12y = 36y
36y + 18y2 + -12y2 = 0

Combine like terms: 18y2 + -12y2 = 6y2
36y + 6y2 = 0

Solving
36y + 6y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '6y'.
6y(6 + y) = 0

Ignore the factor 6.
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 '(6 + y)' equal to zero and attempt to solve:

Simplifying
6 + y = 0

Solving
6 + y = 0

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

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

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

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

Simplifying
y = -6
Solution
y = {0, -6}