(-2y+7)(4y-3)=

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Solution for (-2y+7)(4y-3)= equation: 


Simplifying
(-2y + 7)(4y + -3) = 0

Reorder the terms:
(7 + -2y)(4y + -3) = 0

Reorder the terms:
(7 + -2y)(-3 + 4y) = 0

Multiply (7 + -2y) * (-3 + 4y)
(7(-3 + 4y) + -2y * (-3 + 4y)) = 0
((-3 * 7 + 4y * 7) + -2y * (-3 + 4y)) = 0
((-21 + 28y) + -2y * (-3 + 4y)) = 0
(-21 + 28y + (-3 * -2y + 4y * -2y)) = 0
(-21 + 28y + (6y + -8y2)) = 0

Combine like terms: 28y + 6y = 34y
(-21 + 34y + -8y2) = 0

Solving
-21 + 34y + -8y2 = 0

Solving for variable 'y'.

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


Subproblem 1
Set the factor '(-7 + 2y)' equal to zero and attempt to solve:

Simplifying
-7 + 2y = 0

Solving
-7 + 2y = 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 + 2y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2y = 0 + 7
2y = 0 + 7

Combine like terms: 0 + 7 = 7
2y = 7

Divide each side by '2'.
y = 3.5

Simplifying
y = 3.5

Subproblem 2
Set the factor '(3 + -4y)' equal to zero and attempt to solve:

Simplifying
3 + -4y = 0

Solving
3 + -4y = 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 + -4y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4y = 0 + -3
-4y = 0 + -3

Combine like terms: 0 + -3 = -3
-4y = -3

Divide each side by '-4'.
y = 0.75

Simplifying
y = 0.75
Solution
y = {3.5, 0.75}

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