(y-4)(2y-6)=

Solution for (y-4)(2y-6)= equation:

Simplifying
(y + -4)(2y + -6) = 0

Reorder the terms:
(-4 + y)(2y + -6) = 0

Reorder the terms:
(-4 + y)(-6 + 2y) = 0

Multiply (-4 + y) * (-6 + 2y)
(-4(-6 + 2y) + y(-6 + 2y)) = 0
((-6 * -4 + 2y * -4) + y(-6 + 2y)) = 0
((24 + -8y) + y(-6 + 2y)) = 0
(24 + -8y + (-6 * y + 2y * y)) = 0
(24 + -8y + (-6y + 2y2)) = 0

Combine like terms: -8y + -6y = -14y
(24 + -14y + 2y2) = 0

Solving
24 + -14y + 2y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + -7y + y2) = 0

Factor a trinomial.
2((3 + -1y)(4 + -1y)) = 0

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
Set the factor '(4 + -1y)' equal to zero and attempt to solve:

Simplifying
4 + -1y = 0

Solving
4 + -1y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1y = 0 + -4
-1y = 0 + -4

Combine like terms: 0 + -4 = -4
-1y = -4

Divide each side by '-1'.
y = 4

Simplifying
y = 4
Solution
y = {3, 4}