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

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

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

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

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

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

Combine like terms: 3y + -12y = -9y
(-18 + -9y + 2y2) = 0

Solving
-18 + -9y + 2y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-3 + -2y)(6 + -1y) = 0

Subproblem 1
Set the factor '(-3 + -2y)' equal to zero and attempt to solve:

Simplifying
-3 + -2y = 0

Solving
-3 + -2y = 0

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

Add '3' to each side of the equation.
-3 + 3 + -2y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2y = 0 + 3
-2y = 0 + 3

Combine like terms: 0 + 3 = 3
-2y = 3

Divide each side by '-2'.
y = -1.5

Simplifying
y = -1.5
Subproblem 2
Set the factor '(6 + -1y)' equal to zero and attempt to solve:

Simplifying
6 + -1y = 0

Solving
6 + -1y = 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 + -1y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1y = 0 + -6
-1y = 0 + -6

Combine like terms: 0 + -6 = -6
-1y = -6

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

Simplifying
y = 6
Solution
y = {-1.5, 6}