(-3y+7)(5y-4)=

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Solution for (-3y+7)(5y-4)= equation:


Simplifying
(-3y + 7)(5y + -4) = 0

Reorder the terms:
(7 + -3y)(5y + -4) = 0

Reorder the terms:
(7 + -3y)(-4 + 5y) = 0

Multiply (7 + -3y) * (-4 + 5y)
(7(-4 + 5y) + -3y * (-4 + 5y)) = 0
((-4 * 7 + 5y * 7) + -3y * (-4 + 5y)) = 0
((-28 + 35y) + -3y * (-4 + 5y)) = 0
(-28 + 35y + (-4 * -3y + 5y * -3y)) = 0
(-28 + 35y + (12y + -15y2)) = 0

Combine like terms: 35y + 12y = 47y
(-28 + 47y + -15y2) = 0

Solving
-28 + 47y + -15y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-7 + 3y)(4 + -5y) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(4 + -5y)' equal to zero and attempt to solve:

Simplifying
4 + -5y = 0

Solving
4 + -5y = 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 + -5y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5y = 0 + -4
-5y = 0 + -4

Combine like terms: 0 + -4 = -4
-5y = -4

Divide each side by '-5'.
y = 0.8

Simplifying
y = 0.8
Solution
y = {2.333333333, 0.8}

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