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

Solution for 2(y-7)(8y-1)= equation:

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

Reorder the terms:
2(-7 + y)(8y + -1) = 0

Reorder the terms:
2(-7 + y)(-1 + 8y) = 0

Multiply (-7 + y) * (-1 + 8y)
2(-7(-1 + 8y) + y(-1 + 8y)) = 0
2((-1 * -7 + 8y * -7) + y(-1 + 8y)) = 0
2((7 + -56y) + y(-1 + 8y)) = 0
2(7 + -56y + (-1 * y + 8y * y)) = 0
2(7 + -56y + (-1y + 8y2)) = 0

Combine like terms: -56y + -1y = -57y
2(7 + -57y + 8y2) = 0
(7 * 2 + -57y * 2 + 8y2 * 2) = 0
(14 + -114y + 16y2) = 0

Solving
14 + -114y + 16y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(7 + -57y + 8y2) = 0

Factor a trinomial.
2((1 + -8y)(7 + -1y)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(1 + -8y)' equal to zero and attempt to solve:

Simplifying
1 + -8y = 0

Solving
1 + -8y = 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 + -8y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8y = 0 + -1
-8y = 0 + -1

Combine like terms: 0 + -1 = -1
-8y = -1

Divide each side by '-8'.
y = 0.125

Simplifying
y = 0.125
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 = {0.125, 7}