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

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

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

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

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

Combine like terms: 20y + 3y = 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}