(1[7+y]1)(1[3y-2]1)=0

Solution for (1[7+y]1)(1[3y-2]1)=0 equation:

Simplifying
(1[7 + y] * 1)(1[3y + -2] * 1) = 0

Reorder the terms for easier multiplication:
(1 * 1[7 + y])(1[3y + -2] * 1) = 0

Multiply 1 * 1
(1[7 + y])(1[3y + -2] * 1) = 0
([7 * 1 + y * 1])(1[3y + -2] * 1) = 0
([7 + 1y])(1[3y + -2] * 1) = 0

Reorder the terms:
(7 + 1y)(1[-2 + 3y] * 1) = 0

Reorder the terms for easier multiplication:
(7 + 1y)(1 * 1[-2 + 3y]) = 0

Multiply 1 * 1
(7 + 1y)(1[-2 + 3y]) = 0
(7 + 1y)([-2 * 1 + 3y * 1]) = 0
(7 + 1y)([-2 + 3y]) = 0

Multiply (7 + 1y) * (-2 + 3y)
(7(-2 + 3y) + 1y * (-2 + 3y)) = 0
((-2 * 7 + 3y * 7) + 1y * (-2 + 3y)) = 0
((-14 + 21y) + 1y * (-2 + 3y)) = 0
(-14 + 21y + (-2 * 1y + 3y * 1y)) = 0
(-14 + 21y + (-2y + 3y2)) = 0

Combine like terms: 21y + -2y = 19y
(-14 + 19y + 3y2) = 0

Solving
-14 + 19y + 3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-7 + -1y)(2 + -3y) = 0

Subproblem 1
Set the factor '(-7 + -1y)' equal to zero and attempt to solve:

Simplifying
-7 + -1y = 0

Solving
-7 + -1y = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1y = 0 + 7
-1y = 0 + 7

Combine like terms: 0 + 7 = 7
-1y = 7

Divide each side by '-1'.
y = -7

Simplifying
y = -7
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 = {-7, 0.6666666667}