3(y+2)=y-5

Solution for 3(y+2)=y-5 equation:

Simplifying
3(y + 2) = y + -5

Reorder the terms:
3(2 + y) = y + -5
(2 * 3 + y * 3) = y + -5
(6 + 3y) = y + -5

Reorder the terms:
6 + 3y = -5 + y

Solving
6 + 3y = -5 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
6 + 3y + -1y = -5 + y + -1y

Combine like terms: 3y + -1y = 2y
6 + 2y = -5 + y + -1y

Combine like terms: y + -1y = 0
6 + 2y = -5 + 0
6 + 2y = -5

Add '-6' to each side of the equation.
6 + -6 + 2y = -5 + -6

Combine like terms: 6 + -6 = 0
0 + 2y = -5 + -6
2y = -5 + -6

Combine like terms: -5 + -6 = -11
2y = -11

Divide each side by '2'.
y = -5.5

Simplifying
y = -5.5