9y-3+2(3y+6)=-3(y+1)

Solution for 9y-3+2(3y+6)=-3(y+1) equation:

Simplifying
9y + -3 + 2(3y + 6) = -3(y + 1)

Reorder the terms:
9y + -3 + 2(6 + 3y) = -3(y + 1)
9y + -3 + (6 * 2 + 3y * 2) = -3(y + 1)
9y + -3 + (12 + 6y) = -3(y + 1)

Reorder the terms:
-3 + 12 + 9y + 6y = -3(y + 1)

Combine like terms: -3 + 12 = 9
9 + 9y + 6y = -3(y + 1)

Combine like terms: 9y + 6y = 15y
9 + 15y = -3(y + 1)

Reorder the terms:
9 + 15y = -3(1 + y)
9 + 15y = (1 * -3 + y * -3)
9 + 15y = (-3 + -3y)

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

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

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

Add '-9' to each side of the equation.
9 + -9 + 18y = -3 + -9

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

Combine like terms: -3 + -9 = -12
18y = -12

Divide each side by '18'.
y = -0.6666666667

Simplifying
y = -0.6666666667