(y-8)(y+3)=

Solution for (y-8)(y+3)= equation:

Simplifying
(y + -8)(y + 3) = 0

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

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

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

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

Solving
-24 + -5y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-3 + -1y)(8 + -1y) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(8 + -1y)' equal to zero and attempt to solve:

Simplifying
8 + -1y = 0

Solving
8 + -1y = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1y = 0 + -8
-1y = 0 + -8

Combine like terms: 0 + -8 = -8
-1y = -8

Divide each side by '-1'.
y = 8

Simplifying
y = 8
Solution
y = {-3, 8}