(8-y)(3y+7)=0

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Solution for (8-y)(3y+7)=0 equation: 


Simplifying
(8 + -1y)(3y + 7) = 0

Reorder the terms:
(8 + -1y)(7 + 3y) = 0

Multiply (8 + -1y) * (7 + 3y)
(8(7 + 3y) + -1y * (7 + 3y)) = 0
((7 * 8 + 3y * 8) + -1y * (7 + 3y)) = 0
((56 + 24y) + -1y * (7 + 3y)) = 0
(56 + 24y + (7 * -1y + 3y * -1y)) = 0
(56 + 24y + (-7y + -3y2)) = 0

Combine like terms: 24y + -7y = 17y
(56 + 17y + -3y2) = 0

Solving
56 + 17y + -3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(8 + -1y)(7 + 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 '(7 + 3y)' equal to zero and attempt to solve:

Simplifying
7 + 3y = 0

Solving
7 + 3y = 0

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

Add '-7' to each side of the equation.
7 + -7 + 3y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3y = 0 + -7
3y = 0 + -7

Combine like terms: 0 + -7 = -7
3y = -7

Divide each side by '3'.
y = -2.333333333

Simplifying
y = -2.333333333
Solution
y = {8, -2.333333333}

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