(2y-8)(3y-4)=

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Solution for (2y-8)(3y-4)= equation: 


Simplifying
(2y + -8)(3y + -4) = 0

Reorder the terms:
(-8 + 2y)(3y + -4) = 0

Reorder the terms:
(-8 + 2y)(-4 + 3y) = 0

Multiply (-8 + 2y) * (-4 + 3y)
(-8(-4 + 3y) + 2y * (-4 + 3y)) = 0
((-4 * -8 + 3y * -8) + 2y * (-4 + 3y)) = 0
((32 + -24y) + 2y * (-4 + 3y)) = 0
(32 + -24y + (-4 * 2y + 3y * 2y)) = 0
(32 + -24y + (-8y + 6y2)) = 0

Combine like terms: -24y + -8y = -32y
(32 + -32y + 6y2) = 0

Solving
32 + -32y + 6y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(16 + -16y + 3y2) = 0

Factor a trinomial.
2((4 + -3y)(4 + -1y)) = 0

Ignore the factor 2.

Subproblem 1
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

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 = {1.333333333, 4}

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