(3y-8)(y-12)=

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Solution for (3y-8)(y-12)= equation: 


Simplifying
(3y + -8)(y + -12) = 0

Reorder the terms:
(-8 + 3y)(y + -12) = 0

Reorder the terms:
(-8 + 3y)(-12 + y) = 0

Multiply (-8 + 3y) * (-12 + y)
(-8(-12 + y) + 3y * (-12 + y)) = 0
((-12 * -8 + y * -8) + 3y * (-12 + y)) = 0
((96 + -8y) + 3y * (-12 + y)) = 0
(96 + -8y + (-12 * 3y + y * 3y)) = 0
(96 + -8y + (-36y + 3y2)) = 0

Combine like terms: -8y + -36y = -44y
(96 + -44y + 3y2) = 0

Solving
96 + -44y + 3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(8 + -3y)(12 + -1y) = 0


Subproblem 1
Set the factor '(8 + -3y)' equal to zero and attempt to solve:

Simplifying
8 + -3y = 0

Solving
8 + -3y = 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 + -3y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3y = 0 + -8
-3y = 0 + -8

Combine like terms: 0 + -8 = -8
-3y = -8

Divide each side by '-3'.
y = 2.666666667

Simplifying
y = 2.666666667

Subproblem 2
Set the factor '(12 + -1y)' equal to zero and attempt to solve:

Simplifying
12 + -1y = 0

Solving
12 + -1y = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1y = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1y = 0 + -12
-1y = 0 + -12

Combine like terms: 0 + -12 = -12
-1y = -12

Divide each side by '-1'.
y = 12

Simplifying
y = 12
Solution
y = {2.666666667, 12}

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