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

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


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

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

Multiply (-4 + 3y) * (8 + y)
(-4(8 + y) + 3y * (8 + y)) = 0
((8 * -4 + y * -4) + 3y * (8 + y)) = 0
((-32 + -4y) + 3y * (8 + y)) = 0
(-32 + -4y + (8 * 3y + y * 3y)) = 0
(-32 + -4y + (24y + 3y2)) = 0

Combine like terms: -4y + 24y = 20y
(-32 + 20y + 3y2) = 0

Solving
-32 + 20y + 3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-8 + -1y)(4 + -3y) = 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 '(4 + -3y)' equal to zero and attempt to solve:

Simplifying
4 + -3y = 0

Solving
4 + -3y = 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 + -3y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3y = 0 + -4
-3y = 0 + -4

Combine like terms: 0 + -4 = -4
-3y = -4

Divide each side by '-3'.
y = 1.333333333

Simplifying
y = 1.333333333
Solution
y = {-8, 1.333333333}

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