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 = 12
12 + 3y + 2y = -15

Combine like terms: 3y + 2y = 5y
12 + 5y = -15

Solving
12 + 5y = -15

Solving for variable 'y'.

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

Add '-12' to each side of the equation.
12 + -12 + 5y = -15 + -12

Combine like terms: 12 + -12 = 0
0 + 5y = -15 + -12
5y = -15 + -12

Combine like terms: -15 + -12 = -27
5y = -27

Divide each side by '5'.
y = -5.4

Simplifying
y = -5.4