(7-y)(5y-6)=0

Solution for (7-y)(5y-6)=0 equation:

Simplifying
(7 + -1y)(5y + -6) = 0

Reorder the terms:
(7 + -1y)(-6 + 5y) = 0

Multiply (7 + -1y) * (-6 + 5y)
(7(-6 + 5y) + -1y * (-6 + 5y)) = 0
((-6 * 7 + 5y * 7) + -1y * (-6 + 5y)) = 0
((-42 + 35y) + -1y * (-6 + 5y)) = 0
(-42 + 35y + (-6 * -1y + 5y * -1y)) = 0
(-42 + 35y + (6y + -5y2)) = 0

Combine like terms: 35y + 6y = 41y
(-42 + 41y + -5y2) = 0

Solving
-42 + 41y + -5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-7 + y)(6 + -5y) = 0

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

Simplifying
-7 + y = 0

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

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

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

Simplifying
y = 7
Subproblem 2
Set the factor '(6 + -5y)' equal to zero and attempt to solve:

Simplifying
6 + -5y = 0

Solving
6 + -5y = 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 + -5y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5y = 0 + -6
-5y = 0 + -6

Combine like terms: 0 + -6 = -6
-5y = -6

Divide each side by '-5'.
y = 1.2

Simplifying
y = 1.2
Solution
y = {7, 1.2}