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

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

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

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

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

Combine like terms: 3y + 20y = 23y
(-12 + 23y + -5y2) = 0

Solving
-12 + 23y + -5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-4 + y)(3 + -5y) = 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 '(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 = {4, 0.6}