3(1y+2)+2(1y-3)=-15

Solution for 3(1y+2)+2(1y-3)=-15 equation:

Simplifying
3(1y + 2) + 2(1y + -3) = -15

Reorder the terms:
3(2 + 1y) + 2(1y + -3) = -15
(2 * 3 + 1y * 3) + 2(1y + -3) = -15
(6 + 3y) + 2(1y + -3) = -15

Reorder the terms:
6 + 3y + 2(-3 + 1y) = -15
6 + 3y + (-3 * 2 + 1y * 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