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

Solution for (4-y)(3y-5)=0 equation:

Simplifying
(4 + -1y)(3y + -5) = 0

Reorder the terms:
(4 + -1y)(-5 + 3y) = 0

Multiply (4 + -1y) * (-5 + 3y)
(4(-5 + 3y) + -1y * (-5 + 3y)) = 0
((-5 * 4 + 3y * 4) + -1y * (-5 + 3y)) = 0
((-20 + 12y) + -1y * (-5 + 3y)) = 0
(-20 + 12y + (-5 * -1y + 3y * -1y)) = 0
(-20 + 12y + (5y + -3y2)) = 0

Combine like terms: 12y + 5y = 17y
(-20 + 17y + -3y2) = 0

Solving
-20 + 17y + -3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-4 + y)(5 + -3y) = 0

Subproblem 1
Set the factor '(-4 + y)' equal to zero and attempt to solve:

Simplifying
-4 + y = 0

Solving
-4 + y = 0

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

Add '4' to each side of the equation.
-4 + 4 + y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + y = 0 + 4
y = 0 + 4

Combine like terms: 0 + 4 = 4
y = 4

Simplifying
y = 4
Subproblem 2
Set the factor '(5 + -3y)' equal to zero and attempt to solve:

Simplifying
5 + -3y = 0

Solving
5 + -3y = 0

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

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

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

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

Divide each side by '-3'.
y = 1.666666667

Simplifying
y = 1.666666667
Solution
y = {4, 1.666666667}