(1[3y+2]1)(1[5-y]1)=0

Solution for (1[3y+2]1)(1[5-y]1)=0 equation:

Simplifying
(1[3y + 2] * 1)(1[5 + -1y] * 1) = 0

Reorder the terms:
(1[2 + 3y] * 1)(1[5 + -1y] * 1) = 0

Reorder the terms for easier multiplication:
(1 * 1[2 + 3y])(1[5 + -1y] * 1) = 0

Multiply 1 * 1
(1[2 + 3y])(1[5 + -1y] * 1) = 0
([2 * 1 + 3y * 1])(1[5 + -1y] * 1) = 0
([2 + 3y])(1[5 + -1y] * 1) = 0

Reorder the terms for easier multiplication:
(2 + 3y)(1 * 1[5 + -1y]) = 0

Multiply 1 * 1
(2 + 3y)(1[5 + -1y]) = 0
(2 + 3y)([5 * 1 + -1y * 1]) = 0
(2 + 3y)([5 + -1y]) = 0

Multiply (2 + 3y) * (5 + -1y)
(2(5 + -1y) + 3y * (5 + -1y)) = 0
((5 * 2 + -1y * 2) + 3y * (5 + -1y)) = 0
((10 + -2y) + 3y * (5 + -1y)) = 0
(10 + -2y + (5 * 3y + -1y * 3y)) = 0
(10 + -2y + (15y + -3y2)) = 0

Combine like terms: -2y + 15y = 13y
(10 + 13y + -3y2) = 0

Solving
10 + 13y + -3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(5 + -1y)(2 + 3y) = 0

Subproblem 1
Set the factor '(5 + -1y)' equal to zero and attempt to solve:

Simplifying
5 + -1y = 0

Solving
5 + -1y = 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 + -1y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = 0 + -5
-1y = 0 + -5

Combine like terms: 0 + -5 = -5
-1y = -5

Divide each side by '-1'.
y = 5

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

Simplifying
2 + 3y = 0

Solving
2 + 3y = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3y = 0 + -2
3y = 0 + -2

Combine like terms: 0 + -2 = -2
3y = -2

Divide each side by '3'.
y = -0.6666666667

Simplifying
y = -0.6666666667
Solution
y = {5, -0.6666666667}