6y+6=-6(y-9)

Solution for 6y+6=-6(y-9) equation:

Simplifying
6y + 6 = -6(y + -9)

Reorder the terms:
6 + 6y = -6(y + -9)

Reorder the terms:
6 + 6y = -6(-9 + y)
6 + 6y = (-9 * -6 + y * -6)
6 + 6y = (54 + -6y)

Solving
6 + 6y = 54 + -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 + 6y + 6y = 54 + -6y + 6y

Combine like terms: 6y + 6y = 12y
6 + 12y = 54 + -6y + 6y

Combine like terms: -6y + 6y = 0
6 + 12y = 54 + 0
6 + 12y = 54

Add '-6' to each side of the equation.
6 + -6 + 12y = 54 + -6

Combine like terms: 6 + -6 = 0
0 + 12y = 54 + -6
12y = 54 + -6

Combine like terms: 54 + -6 = 48
12y = 48

Divide each side by '12'.
y = 4

Simplifying
y = 4