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

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

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

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

Combine like terms: y + 3y = 4y
(-6 + 4y)(2y + 3) = 0

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

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

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

Solving
-18 + 8y2 = 0

Solving for variable 'y'.

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

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

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

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

Divide each side by '8'.
y2 = 2.25

Simplifying
y2 = 2.25

Take the square root of each side:
y = {-1.5, 1.5}