3(Y+2)+2(Y+-3)=-15

Solution for 3(Y+2)+2(Y+-3)=-15 equation:

Simplifying
3(Y + 2) + 2(Y + -3) = -15

Reorder the terms:
3(2 + Y) + 2(Y + -3) = -15
(2 * 3 + Y * 3) + 2(Y + -3) = -15
(6 + 3Y) + 2(Y + -3) = -15

Reorder the terms:
6 + 3Y + 2(-3 + Y) = -15
6 + 3Y + (-3 * 2 + Y * 2) = -15
6 + 3Y + (-6 + 2Y) = -15

Reorder the terms:
6 + -6 + 3Y + 2Y = -15

Combine like terms: 6 + -6 = 0
0 + 3Y + 2Y = -15
3Y + 2Y = -15

Combine like terms: 3Y + 2Y = 5Y
5Y = -15

Solving
5Y = -15

Solving for variable 'Y'.

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

Divide each side by '5'.
Y = -3

Simplifying
Y = -3