(3y-2)(6y+4)=

Solution for (3y-2)(6y+4)= equation:

Simplifying
(3y + -2)(6y + 4) = 0

Reorder the terms:
(-2 + 3y)(6y + 4) = 0

Reorder the terms:
(-2 + 3y)(4 + 6y) = 0

Multiply (-2 + 3y) * (4 + 6y)
(-2(4 + 6y) + 3y * (4 + 6y)) = 0
((4 * -2 + 6y * -2) + 3y * (4 + 6y)) = 0
((-8 + -12y) + 3y * (4 + 6y)) = 0
(-8 + -12y + (4 * 3y + 6y * 3y)) = 0
(-8 + -12y + (12y + 18y2)) = 0

Combine like terms: -12y + 12y = 0
(-8 + 0 + 18y2) = 0
(-8 + 18y2) = 0

Solving
-8 + 18y2 = 0

Solving for variable 'y'.

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

Add '8' to each side of the equation.
-8 + 8 + 18y2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 18y2 = 0 + 8
18y2 = 0 + 8

Combine like terms: 0 + 8 = 8
18y2 = 8

Divide each side by '18'.
y2 = 0.4444444444

Simplifying
y2 = 0.4444444444

Take the square root of each side:
y = {-0.666666667, 0.666666667}