(5y-7)(4-y)=0

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Solution for (5y-7)(4-y)=0 equation: 


Simplifying
(5y + -7)(4 + -1y) = 0

Reorder the terms:
(-7 + 5y)(4 + -1y) = 0

Multiply (-7 + 5y) * (4 + -1y)
(-7(4 + -1y) + 5y * (4 + -1y)) = 0
((4 * -7 + -1y * -7) + 5y * (4 + -1y)) = 0
((-28 + 7y) + 5y * (4 + -1y)) = 0
(-28 + 7y + (4 * 5y + -1y * 5y)) = 0
(-28 + 7y + (20y + -5y2)) = 0

Combine like terms: 7y + 20y = 27y
(-28 + 27y + -5y2) = 0

Solving
-28 + 27y + -5y2 = 0

Solving for variable 'y'.

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


Subproblem 1
Set the factor '(-4 + y)' equal to zero and attempt to solve:

Simplifying
-4 + y = 0

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

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

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

Simplifying
y = 4

Subproblem 2
Set the factor '(7 + -5y)' equal to zero and attempt to solve:

Simplifying
7 + -5y = 0

Solving
7 + -5y = 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 + -5y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5y = 0 + -7
-5y = 0 + -7

Combine like terms: 0 + -7 = -7
-5y = -7

Divide each side by '-5'.
y = 1.4

Simplifying
y = 1.4
Solution
y = {4, 1.4}

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