2(y+3)=12-y

Solution for 2(y+3)=12-y equation:

Simplifying
2(y + 3) = 12 + -1y

Reorder the terms:
2(3 + y) = 12 + -1y
(3 * 2 + y * 2) = 12 + -1y
(6 + 2y) = 12 + -1y

Solving
6 + 2y = 12 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
6 + 2y + y = 12 + -1y + y

Combine like terms: 2y + y = 3y
6 + 3y = 12 + -1y + y

Combine like terms: -1y + y = 0
6 + 3y = 12 + 0
6 + 3y = 12

Add '-6' to each side of the equation.
6 + -6 + 3y = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 3y = 12 + -6
3y = 12 + -6

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

Divide each side by '3'.
y = 2

Simplifying
y = 2