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

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

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

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

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

Reorder the terms:
-6 + -1y = 3(6 + y)
-6 + -1y = (6 * 3 + y * 3)
-6 + -1y = (18 + 3y)

Solving
-6 + -1y = 18 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-6 + -1y + -3y = 18 + 3y + -3y

Combine like terms: -1y + -3y = -4y
-6 + -4y = 18 + 3y + -3y

Combine like terms: 3y + -3y = 0
-6 + -4y = 18 + 0
-6 + -4y = 18

Add '6' to each side of the equation.
-6 + 6 + -4y = 18 + 6

Combine like terms: -6 + 6 = 0
0 + -4y = 18 + 6
-4y = 18 + 6

Combine like terms: 18 + 6 = 24
-4y = 24

Divide each side by '-4'.
y = -6

Simplifying
y = -6