3y+6=-3(y+4)

Solution for 3y+6=-3(y+4) equation:

Simplifying
3y + 6 = -3(y + 4)

Reorder the terms:
6 + 3y = -3(y + 4)

Reorder the terms:
6 + 3y = -3(4 + y)
6 + 3y = (4 * -3 + y * -3)
6 + 3y = (-12 + -3y)

Solving
6 + 3y = -12 + -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 + 3y + 3y = -12 + -3y + 3y

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

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

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

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

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

Divide each side by '6'.
y = -3

Simplifying
y = -3