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

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

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

Combine like terms: 4 + 4 = 8
(8)(y + -3) + (y + -2)(y + -3) = 0

Reorder the terms:
8(-3 + y) + (y + -2)(y + -3) = 0
(-3 * 8 + y * 8) + (y + -2)(y + -3) = 0
(-24 + 8y) + (y + -2)(y + -3) = 0

Reorder the terms:
-24 + 8y + (-2 + y)(y + -3) = 0

Reorder the terms:
-24 + 8y + (-2 + y)(-3 + y) = 0

Multiply (-2 + y) * (-3 + y)
-24 + 8y + (-2(-3 + y) + y(-3 + y)) = 0
-24 + 8y + ((-3 * -2 + y * -2) + y(-3 + y)) = 0
-24 + 8y + ((6 + -2y) + y(-3 + y)) = 0
-24 + 8y + (6 + -2y + (-3 * y + y * y)) = 0
-24 + 8y + (6 + -2y + (-3y + y2)) = 0

Combine like terms: -2y + -3y = -5y
-24 + 8y + (6 + -5y + y2) = 0

Reorder the terms:
-24 + 6 + 8y + -5y + y2 = 0

Combine like terms: -24 + 6 = -18
-18 + 8y + -5y + y2 = 0

Combine like terms: 8y + -5y = 3y
-18 + 3y + y2 = 0

Solving
-18 + 3y + y2 = 0

Solving for variable 'y'.

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

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

Simplifying
3 + -1y = 0

Solving
3 + -1y = 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 + -1y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = 0 + -3
-1y = 0 + -3

Combine like terms: 0 + -3 = -3
-1y = -3

Divide each side by '-1'.
y = 3

Simplifying
y = 3
Solution
y = {-6, 3}