(5y-4)(8-y)=0

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Solution for (5y-4)(8-y)=0 equation: 


Simplifying
(5y + -4)(8 + -1y) = 0

Reorder the terms:
(-4 + 5y)(8 + -1y) = 0

Multiply (-4 + 5y) * (8 + -1y)
(-4(8 + -1y) + 5y * (8 + -1y)) = 0
((8 * -4 + -1y * -4) + 5y * (8 + -1y)) = 0
((-32 + 4y) + 5y * (8 + -1y)) = 0
(-32 + 4y + (8 * 5y + -1y * 5y)) = 0
(-32 + 4y + (40y + -5y2)) = 0

Combine like terms: 4y + 40y = 44y
(-32 + 44y + -5y2) = 0

Solving
-32 + 44y + -5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-8 + y)(4 + -5y) = 0


Subproblem 1
Set the factor '(-8 + y)' equal to zero and attempt to solve:

Simplifying
-8 + y = 0

Solving
-8 + y = 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 + y = 0 + 8

Combine like terms: -8 + 8 = 0
0 + y = 0 + 8
y = 0 + 8

Combine like terms: 0 + 8 = 8
y = 8

Simplifying
y = 8

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 = {8, 0.8}

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