(2y-8)(y+2)=

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Solution for (2y-8)(y+2)= equation: 


Simplifying
(2y + -8)(y + 2) = 0

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

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

Multiply (-8 + 2y) * (2 + y)
(-8(2 + y) + 2y * (2 + y)) = 0
((2 * -8 + y * -8) + 2y * (2 + y)) = 0
((-16 + -8y) + 2y * (2 + y)) = 0
(-16 + -8y + (2 * 2y + y * 2y)) = 0
(-16 + -8y + (4y + 2y2)) = 0

Combine like terms: -8y + 4y = -4y
(-16 + -4y + 2y2) = 0

Solving
-16 + -4y + 2y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + -2y + y2) = 0

Factor a trinomial.
2((-2 + -1y)(4 + -1y)) = 0

Ignore the factor 2.

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

Simplifying
-2 + -1y = 0

Solving
-2 + -1y = 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 + -1y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1y = 0 + 2
-1y = 0 + 2

Combine like terms: 0 + 2 = 2
-1y = 2

Divide each side by '-1'.
y = -2

Simplifying
y = -2

Subproblem 2
Set the factor '(4 + -1y)' equal to zero and attempt to solve:

Simplifying
4 + -1y = 0

Solving
4 + -1y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1y = 0 + -4
-1y = 0 + -4

Combine like terms: 0 + -4 = -4
-1y = -4

Divide each side by '-1'.
y = 4

Simplifying
y = 4
Solution
y = {-2, 4}

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