(7y-8)(y-1)=

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Solution for (7y-8)(y-1)= equation: 


Simplifying
(7y + -8)(y + -1) = 0

Reorder the terms:
(-8 + 7y)(y + -1) = 0

Reorder the terms:
(-8 + 7y)(-1 + y) = 0

Multiply (-8 + 7y) * (-1 + y)
(-8(-1 + y) + 7y * (-1 + y)) = 0
((-1 * -8 + y * -8) + 7y * (-1 + y)) = 0
((8 + -8y) + 7y * (-1 + y)) = 0
(8 + -8y + (-1 * 7y + y * 7y)) = 0
(8 + -8y + (-7y + 7y2)) = 0

Combine like terms: -8y + -7y = -15y
(8 + -15y + 7y2) = 0

Solving
8 + -15y + 7y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(1 + -1y)(8 + -7y) = 0


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

Simplifying
1 + -1y = 0

Solving
1 + -1y = 0

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

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

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

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

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

Simplifying
y = 1

Subproblem 2
Set the factor '(8 + -7y)' equal to zero and attempt to solve:

Simplifying
8 + -7y = 0

Solving
8 + -7y = 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 + -7y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7y = 0 + -8
-7y = 0 + -8

Combine like terms: 0 + -8 = -8
-7y = -8

Divide each side by '-7'.
y = 1.142857143

Simplifying
y = 1.142857143
Solution
y = {1, 1.142857143}

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