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

Solution for 2(y-3)(6y-1)= equation:

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

Reorder the terms:
2(-3 + y)(6y + -1) = 0

Reorder the terms:
2(-3 + y)(-1 + 6y) = 0

Multiply (-3 + y) * (-1 + 6y)
2(-3(-1 + 6y) + y(-1 + 6y)) = 0
2((-1 * -3 + 6y * -3) + y(-1 + 6y)) = 0
2((3 + -18y) + y(-1 + 6y)) = 0
2(3 + -18y + (-1 * y + 6y * y)) = 0
2(3 + -18y + (-1y + 6y2)) = 0

Combine like terms: -18y + -1y = -19y
2(3 + -19y + 6y2) = 0
(3 * 2 + -19y * 2 + 6y2 * 2) = 0
(6 + -38y + 12y2) = 0

Solving
6 + -38y + 12y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -19y + 6y2) = 0

Factor a trinomial.
2((1 + -6y)(3 + -1y)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(1 + -6y)' equal to zero and attempt to solve:

Simplifying
1 + -6y = 0

Solving
1 + -6y = 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 + -6y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6y = 0 + -1
-6y = 0 + -1

Combine like terms: 0 + -1 = -1
-6y = -1

Divide each side by '-6'.
y = 0.1666666667

Simplifying
y = 0.1666666667
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 = {0.1666666667, 3}