9y-9+3(2y+1)=-3(y+3)

Solution for 9y-9+3(2y+1)=-3(y+3) equation:

Simplifying
9y + -9 + 3(2y + 1) = -3(y + 3)

Reorder the terms:
9y + -9 + 3(1 + 2y) = -3(y + 3)
9y + -9 + (1 * 3 + 2y * 3) = -3(y + 3)
9y + -9 + (3 + 6y) = -3(y + 3)

Reorder the terms:
-9 + 3 + 9y + 6y = -3(y + 3)

Combine like terms: -9 + 3 = -6
-6 + 9y + 6y = -3(y + 3)

Combine like terms: 9y + 6y = 15y
-6 + 15y = -3(y + 3)

Reorder the terms:
-6 + 15y = -3(3 + y)
-6 + 15y = (3 * -3 + y * -3)
-6 + 15y = (-9 + -3y)

Solving
-6 + 15y = -9 + -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 + 15y + 3y = -9 + -3y + 3y

Combine like terms: 15y + 3y = 18y
-6 + 18y = -9 + -3y + 3y

Combine like terms: -3y + 3y = 0
-6 + 18y = -9 + 0
-6 + 18y = -9

Add '6' to each side of the equation.
-6 + 6 + 18y = -9 + 6

Combine like terms: -6 + 6 = 0
0 + 18y = -9 + 6
18y = -9 + 6

Combine like terms: -9 + 6 = -3
18y = -3

Divide each side by '18'.
y = -0.1666666667

Simplifying
y = -0.1666666667