(2y-3)(8+y)=0

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Solution for (2y-3)(8+y)=0 equation: 


Simplifying
(2y + -3)(8 + y) = 0

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

Multiply (-3 + 2y) * (8 + y)
(-3(8 + y) + 2y * (8 + y)) = 0
((8 * -3 + y * -3) + 2y * (8 + y)) = 0
((-24 + -3y) + 2y * (8 + y)) = 0
(-24 + -3y + (8 * 2y + y * 2y)) = 0
(-24 + -3y + (16y + 2y2)) = 0

Combine like terms: -3y + 16y = 13y
(-24 + 13y + 2y2) = 0

Solving
-24 + 13y + 2y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-8 + -1y)(3 + -2y) = 0


Subproblem 1
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

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

Simplifying
3 + -2y = 0

Solving
3 + -2y = 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 + -2y = 0 + -3

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

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

Divide each side by '-2'.
y = 1.5

Simplifying
y = 1.5
Solution
y = {-8, 1.5}

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