[y+2][y-3]=

Solution for [y+2][y-3]= equation:

Simplifying
[y + 2][y + -3] = 0

Reorder the terms:
[2 + y][y + -3] = 0

Reorder the terms:
[2 + y][-3 + y] = 0

Multiply [2 + y] * [-3 + y]
[2[-3 + y] + y[-3 + y]] = 0
[[-3 * 2 + y * 2] + y[-3 + y]] = 0
[[-6 + 2y] + y[-3 + y]] = 0
[-6 + 2y + [-3 * y + y * y]] = 0
[-6 + 2y + [-3y + y2]] = 0

Combine like terms: 2y + -3y = -1y
[-6 + -1y + y2] = 0

Solving
-6 + -1y + y2 = 0

Solving for variable 'y'.

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

Subproblem 1
Set the factor '(-2 + -1y)' equal to zero and attempt to solve:

Simplifying
-2 + -1y = 0

Solving
-2 + -1y = 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 + -1y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1y = 0 + 2
-1y = 0 + 2

Combine like terms: 0 + 2 = 2
-1y = 2

Divide each side by '-1'.
y = -2

Simplifying
y = -2
Subproblem 2
Set the factor '(3 + -1y)' equal to zero and attempt to solve:

Simplifying
3 + -1y = 0

Solving
3 + -1y = 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 + -1y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = 0 + -3
-1y = 0 + -3

Combine like terms: 0 + -3 = -3
-1y = -3

Divide each side by '-1'.
y = 3

Simplifying
y = 3
Solution
y = {-2, 3}