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

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

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

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

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

Multiply (2 + -3y) * (3 + y)
(2(3 + y) + -3y * (3 + y)) = 0
((3 * 2 + y * 2) + -3y * (3 + y)) = 0
((6 + 2y) + -3y * (3 + y)) = 0
(6 + 2y + (3 * -3y + y * -3y)) = 0
(6 + 2y + (-9y + -3y2)) = 0

Combine like terms: 2y + -9y = -7y
(6 + -7y + -3y2) = 0

Solving
6 + -7y + -3y2 = 0

Solving for variable 'y'.

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

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

Simplifying
2 + -3y = 0

Solving
2 + -3y = 0

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

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

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

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

Divide each side by '-3'.
y = 0.6666666667

Simplifying
y = 0.6666666667
Subproblem 2
Set the factor '(3 + y)' equal to zero and attempt to solve:

Simplifying
3 + y = 0

Solving
3 + y = 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 + y = 0 + -3

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

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

Simplifying
y = -3
Solution
y = {0.6666666667, -3}