-2y(3y+3)=3(1-2y)-9

Solution for -2y(3y+3)=3(1-2y)-9 equation:

Simplifying
-2y(3y + 3) = 3(1 + -2y) + -9

Reorder the terms:
-2y(3 + 3y) = 3(1 + -2y) + -9
(3 * -2y + 3y * -2y) = 3(1 + -2y) + -9
(-6y + -6y2) = 3(1 + -2y) + -9
-6y + -6y2 = (1 * 3 + -2y * 3) + -9
-6y + -6y2 = (3 + -6y) + -9

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

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

Add '6y' to each side of the equation.
-6y + 6y + -6y2 = -6 + -6y + 6y

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

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

Solving
-6y2 = -6

Solving for variable 'y'.

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

Divide each side by '-6'.
y2 = 1

Simplifying
y2 = 1

Take the square root of each side:
y = {-1, 1}