(4y-8)(3y-7)=0

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Solution for (4y-8)(3y-7)=0 equation: 


Simplifying
(4y + -8)(3y + -7) = 0

Reorder the terms:
(-8 + 4y)(3y + -7) = 0

Reorder the terms:
(-8 + 4y)(-7 + 3y) = 0

Multiply (-8 + 4y) * (-7 + 3y)
(-8(-7 + 3y) + 4y * (-7 + 3y)) = 0
((-7 * -8 + 3y * -8) + 4y * (-7 + 3y)) = 0
((56 + -24y) + 4y * (-7 + 3y)) = 0
(56 + -24y + (-7 * 4y + 3y * 4y)) = 0
(56 + -24y + (-28y + 12y2)) = 0

Combine like terms: -24y + -28y = -52y
(56 + -52y + 12y2) = 0

Solving
56 + -52y + 12y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(14 + -13y + 3y2) = 0

Factor a trinomial.
4((2 + -1y)(7 + -3y)) = 0

Ignore the factor 4.

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

Simplifying
2 + -1y = 0

Solving
2 + -1y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2

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 = {2, 2.333333333}

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