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

Solution for 6(y-3)(7y-1)= equation:

Simplifying
6(y + -3)(7y + -1) = 0

Reorder the terms:
6(-3 + y)(7y + -1) = 0

Reorder the terms:
6(-3 + y)(-1 + 7y) = 0

Multiply (-3 + y) * (-1 + 7y)
6(-3(-1 + 7y) + y(-1 + 7y)) = 0
6((-1 * -3 + 7y * -3) + y(-1 + 7y)) = 0
6((3 + -21y) + y(-1 + 7y)) = 0
6(3 + -21y + (-1 * y + 7y * y)) = 0
6(3 + -21y + (-1y + 7y2)) = 0

Combine like terms: -21y + -1y = -22y
6(3 + -22y + 7y2) = 0
(3 * 6 + -22y * 6 + 7y2 * 6) = 0
(18 + -132y + 42y2) = 0

Solving
18 + -132y + 42y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '6'.
6(3 + -22y + 7y2) = 0

Factor a trinomial.
6((1 + -7y)(3 + -1y)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(1 + -7y)' equal to zero and attempt to solve:

Simplifying
1 + -7y = 0

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

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

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

Divide each side by '-7'.
y = 0.1428571429

Simplifying
y = 0.1428571429
Subproblem 2
Set the factor '(3 + -1y)' equal to zero and attempt to solve:

Simplifying
3 + -1y = 0

Solving
3 + -1y = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = 0 + -3
-1y = 0 + -3

Combine like terms: 0 + -3 = -3
-1y = -3

Divide each side by '-1'.
y = 3

Simplifying
y = 3
Solution
y = {0.1428571429, 3}