3(2+y)+6(y-3)=60

Solution for 3(2+y)+6(y-3)=60 equation:

Simplifying
3(2 + y) + 6(y + -3) = 60
(2 * 3 + y * 3) + 6(y + -3) = 60
(6 + 3y) + 6(y + -3) = 60

Reorder the terms:
6 + 3y + 6(-3 + y) = 60
6 + 3y + (-3 * 6 + y * 6) = 60
6 + 3y + (-18 + 6y) = 60

Reorder the terms:
6 + -18 + 3y + 6y = 60

Combine like terms: 6 + -18 = -12
-12 + 3y + 6y = 60

Combine like terms: 3y + 6y = 9y
-12 + 9y = 60

Solving
-12 + 9y = 60

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 + 9y = 60 + 12

Combine like terms: -12 + 12 = 0
0 + 9y = 60 + 12
9y = 60 + 12

Combine like terms: 60 + 12 = 72
9y = 72

Divide each side by '9'.
y = 8

Simplifying
y = 8