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

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Solution for 4(y-7)(5y-1)= equation: 


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

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

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

Multiply (-7 + y) * (-1 + 5y)
4(-7(-1 + 5y) + y(-1 + 5y)) = 0
4((-1 * -7 + 5y * -7) + y(-1 + 5y)) = 0
4((7 + -35y) + y(-1 + 5y)) = 0
4(7 + -35y + (-1 * y + 5y * y)) = 0
4(7 + -35y + (-1y + 5y2)) = 0

Combine like terms: -35y + -1y = -36y
4(7 + -36y + 5y2) = 0
(7 * 4 + -36y * 4 + 5y2 * 4) = 0
(28 + -144y + 20y2) = 0

Solving
28 + -144y + 20y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(7 + -36y + 5y2) = 0

Factor a trinomial.
4((1 + -5y)(7 + -1y)) = 0

Ignore the factor 4.

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

Simplifying
1 + -5y = 0

Solving
1 + -5y = 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 + -5y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5y = 0 + -1
-5y = 0 + -1

Combine like terms: 0 + -1 = -1
-5y = -1

Divide each side by '-5'.
y = 0.2

Simplifying
y = 0.2

Subproblem 2
Set the factor '(7 + -1y)' equal to zero and attempt to solve:

Simplifying
7 + -1y = 0

Solving
7 + -1y = 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 + -1y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1y = 0 + -7
-1y = 0 + -7

Combine like terms: 0 + -7 = -7
-1y = -7

Divide each side by '-1'.
y = 7

Simplifying
y = 7
Solution
y = {0.2, 7}

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