(5y-3)(8-y)=0

Solution for (5y-3)(8-y)=0 equation:

Simplifying
(5y + -3)(8 + -1y) = 0

Reorder the terms:
(-3 + 5y)(8 + -1y) = 0

Multiply (-3 + 5y) * (8 + -1y)
(-3(8 + -1y) + 5y * (8 + -1y)) = 0
((8 * -3 + -1y * -3) + 5y * (8 + -1y)) = 0
((-24 + 3y) + 5y * (8 + -1y)) = 0
(-24 + 3y + (8 * 5y + -1y * 5y)) = 0
(-24 + 3y + (40y + -5y2)) = 0

Combine like terms: 3y + 40y = 43y
(-24 + 43y + -5y2) = 0

Solving
-24 + 43y + -5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-8 + y)(3 + -5y) = 0

Subproblem 1
Set the factor '(-8 + y)' equal to zero and attempt to solve:

Simplifying
-8 + y = 0

Solving
-8 + y = 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 + y = 0 + 8

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

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

Simplifying
y = 8
Subproblem 2
Set the factor '(3 + -5y)' equal to zero and attempt to solve:

Simplifying
3 + -5y = 0

Solving
3 + -5y = 0

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

Add '-3' to each side of the equation.
3 + -3 + -5y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5y = 0 + -3
-5y = 0 + -3

Combine like terms: 0 + -3 = -3
-5y = -3

Divide each side by '-5'.
y = 0.6

Simplifying
y = 0.6
Solution
y = {8, 0.6}