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

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Solution for 4(y+3)(-y-8)=0 equation: 


Simplifying
4(y + 3)(-1y + -8) = 0

Reorder the terms:
4(3 + y)(-1y + -8) = 0

Reorder the terms:
4(3 + y)(-8 + -1y) = 0

Multiply (3 + y) * (-8 + -1y)
4(3(-8 + -1y) + y(-8 + -1y)) = 0
4((-8 * 3 + -1y * 3) + y(-8 + -1y)) = 0
4((-24 + -3y) + y(-8 + -1y)) = 0
4(-24 + -3y + (-8 * y + -1y * y)) = 0
4(-24 + -3y + (-8y + -1y2)) = 0

Combine like terms: -3y + -8y = -11y
4(-24 + -11y + -1y2) = 0
(-24 * 4 + -11y * 4 + -1y2 * 4) = 0
(-96 + -44y + -4y2) = 0

Solving
-96 + -44y + -4y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '-4'.
-4(24 + 11y + y2) = 0

Factor a trinomial.
-4((8 + y)(3 + y)) = 0

Ignore the factor -4.

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

Simplifying
8 + y = 0

Solving
8 + y = 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 + y = 0 + -8

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

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

Simplifying
y = -8

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 = {-8, -3}

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