(6-y)(5y-8)=0

Solution for (6-y)(5y-8)=0 equation:

Simplifying
(6 + -1y)(5y + -8) = 0

Reorder the terms:
(6 + -1y)(-8 + 5y) = 0

Multiply (6 + -1y) * (-8 + 5y)
(6(-8 + 5y) + -1y * (-8 + 5y)) = 0
((-8 * 6 + 5y * 6) + -1y * (-8 + 5y)) = 0
((-48 + 30y) + -1y * (-8 + 5y)) = 0
(-48 + 30y + (-8 * -1y + 5y * -1y)) = 0
(-48 + 30y + (8y + -5y2)) = 0

Combine like terms: 30y + 8y = 38y
(-48 + 38y + -5y2) = 0

Solving
-48 + 38y + -5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-6 + y)(8 + -5y) = 0

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

Simplifying
-6 + y = 0

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

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

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

Simplifying
y = 6
Subproblem 2
Set the factor '(8 + -5y)' equal to zero and attempt to solve:

Simplifying
8 + -5y = 0

Solving
8 + -5y = 0

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

Add '-8' to each side of the equation.
8 + -8 + -5y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5y = 0 + -8
-5y = 0 + -8

Combine like terms: 0 + -8 = -8
-5y = -8

Divide each side by '-5'.
y = 1.6

Simplifying
y = 1.6
Solution
y = {6, 1.6}