(y-4)(y-2)=

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

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

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

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

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

Combine like terms: -4y + -2y = -6y
(8 + -6y + y2) = 0

Solving
8 + -6y + y2 = 0

Solving for variable 'y'.

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

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

Simplifying
2 + -1y = 0

Solving
2 + -1y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2
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 = {2, 4}