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

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

Simplifying
(9y + 3) + -1(3y + -3) = 0

Reorder the terms:
(3 + 9y) + -1(3y + -3) = 0

Remove parenthesis around (3 + 9y)
3 + 9y + -1(3y + -3) = 0

Reorder the terms:
3 + 9y + -1(-3 + 3y) = 0
3 + 9y + (-3 * -1 + 3y * -1) = 0
3 + 9y + (3 + -3y) = 0

Reorder the terms:
3 + 3 + 9y + -3y = 0

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

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

Solving
6 + 6y = 0

Solving for variable 'y'.

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

Add '-6' to each side of the equation.
6 + -6 + 6y = 0 + -6

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

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

Divide each side by '6'.
y = -1

Simplifying
y = -1