(y-7)(y-6)=

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

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

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

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

Multiply (-7 + y) * (-6 + y)
(-7(-6 + y) + y(-6 + y)) = 0
((-6 * -7 + y * -7) + y(-6 + y)) = 0
((42 + -7y) + y(-6 + y)) = 0
(42 + -7y + (-6 * y + y * y)) = 0
(42 + -7y + (-6y + y2)) = 0

Combine like terms: -7y + -6y = -13y
(42 + -13y + y2) = 0

Solving
42 + -13y + y2 = 0

Solving for variable 'y'.

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

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

Simplifying
6 + -1y = 0

Solving
6 + -1y = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1y = 0 + -6

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

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

Divide each side by '-1'.
y = 6

Simplifying
y = 6
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 = {6, 7}