(5y-8)(1-y)=0

Solution for (5y-8)(1-y)=0 equation:

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

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

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

Combine like terms: 8y + 5y = 13y
(-8 + 13y + -5y2) = 0

Solving
-8 + 13y + -5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-8 + 5y)(1 + -1y) = 0

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

Simplifying
1 + -1y = 0

Solving
1 + -1y = 0

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

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

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

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

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

Simplifying
y = 1
Solution
y = {1.6, 1}