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

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

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

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

Reorder the terms:
6 + 3y = -6(-4 + y)
6 + 3y = (-4 * -6 + y * -6)
6 + 3y = (24 + -6y)

Solving
6 + 3y = 24 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
6 + 3y + 6y = 24 + -6y + 6y

Combine like terms: 3y + 6y = 9y
6 + 9y = 24 + -6y + 6y

Combine like terms: -6y + 6y = 0
6 + 9y = 24 + 0
6 + 9y = 24

Add '-6' to each side of the equation.
6 + -6 + 9y = 24 + -6

Combine like terms: 6 + -6 = 0
0 + 9y = 24 + -6
9y = 24 + -6

Combine like terms: 24 + -6 = 18
9y = 18

Divide each side by '9'.
y = 2

Simplifying
y = 2