(2y-6)(3y-8)=

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Solution for (2y-6)(3y-8)= equation: 


Simplifying
(2y + -6)(3y + -8) = 0

Reorder the terms:
(-6 + 2y)(3y + -8) = 0

Reorder the terms:
(-6 + 2y)(-8 + 3y) = 0

Multiply (-6 + 2y) * (-8 + 3y)
(-6(-8 + 3y) + 2y * (-8 + 3y)) = 0
((-8 * -6 + 3y * -6) + 2y * (-8 + 3y)) = 0
((48 + -18y) + 2y * (-8 + 3y)) = 0
(48 + -18y + (-8 * 2y + 3y * 2y)) = 0
(48 + -18y + (-16y + 6y2)) = 0

Combine like terms: -18y + -16y = -34y
(48 + -34y + 6y2) = 0

Solving
48 + -34y + 6y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(24 + -17y + 3y2) = 0

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

Ignore the factor 2.

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 '(3 + -1y)' equal to zero and attempt to solve:

Simplifying
3 + -1y = 0

Solving
3 + -1y = 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 + -1y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = 0 + -3
-1y = 0 + -3

Combine like terms: 0 + -3 = -3
-1y = -3

Divide each side by '-1'.
y = 3

Simplifying
y = 3
Solution
y = {2.666666667, 3}

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