(5y-7)(y-1)=3

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Solution for (5y-7)(y-1)=3 equation: 


Simplifying
(5y + -7)(y + -1) = 3

Reorder the terms:
(-7 + 5y)(y + -1) = 3

Reorder the terms:
(-7 + 5y)(-1 + y) = 3

Multiply (-7 + 5y) * (-1 + y)
(-7(-1 + y) + 5y * (-1 + y)) = 3
((-1 * -7 + y * -7) + 5y * (-1 + y)) = 3
((7 + -7y) + 5y * (-1 + y)) = 3
(7 + -7y + (-1 * 5y + y * 5y)) = 3
(7 + -7y + (-5y + 5y2)) = 3

Combine like terms: -7y + -5y = -12y
(7 + -12y + 5y2) = 3

Solving
7 + -12y + 5y2 = 3

Solving for variable 'y'.

Reorder the terms:
7 + -3 + -12y + 5y2 = 3 + -3

Combine like terms: 7 + -3 = 4
4 + -12y + 5y2 = 3 + -3

Combine like terms: 3 + -3 = 0
4 + -12y + 5y2 = 0

Factor a trinomial.
(2 + -5y)(2 + -1y) = 0


Subproblem 1
Set the factor '(2 + -5y)' equal to zero and attempt to solve:

Simplifying
2 + -5y = 0

Solving
2 + -5y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5y = 0 + -2
-5y = 0 + -2

Combine like terms: 0 + -2 = -2
-5y = -2

Divide each side by '-5'.
y = 0.4

Simplifying
y = 0.4

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

Simplifying
2 + -1y = 0

Solving
2 + -1y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2
Solution
y = {0.4, 2}

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