3(y+2)+2(y-30)=-15

Solution for 3(y+2)+2(y-30)=-15 equation:

Simplifying
3(y + 2) + 2(y + -30) = -15

Reorder the terms:
3(2 + y) + 2(y + -30) = -15
(2 * 3 + y * 3) + 2(y + -30) = -15
(6 + 3y) + 2(y + -30) = -15

Reorder the terms:
6 + 3y + 2(-30 + y) = -15
6 + 3y + (-30 * 2 + y * 2) = -15
6 + 3y + (-60 + 2y) = -15

Reorder the terms:
6 + -60 + 3y + 2y = -15

Combine like terms: 6 + -60 = -54
-54 + 3y + 2y = -15

Combine like terms: 3y + 2y = 5y
-54 + 5y = -15

Solving
-54 + 5y = -15

Solving for variable 'y'.

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

Add '54' to each side of the equation.
-54 + 54 + 5y = -15 + 54

Combine like terms: -54 + 54 = 0
0 + 5y = -15 + 54
5y = -15 + 54

Combine like terms: -15 + 54 = 39
5y = 39

Divide each side by '5'.
y = 7.8

Simplifying
y = 7.8