(3y-6)=(3-9y)

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

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

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

Remove parenthesis around (-6 + 3y)
-6 + 3y = (3 + -9y)

Remove parenthesis around (3 + -9y)
-6 + 3y = 3 + -9y

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

Solving for variable 'y'.

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

Add '9y' to each side of the equation.
-6 + 3y + 9y = 3 + -9y + 9y

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

Combine like terms: -9y + 9y = 0
-6 + 12y = 3 + 0
-6 + 12y = 3

Add '6' to each side of the equation.
-6 + 6 + 12y = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 12y = 3 + 6
12y = 3 + 6

Combine like terms: 3 + 6 = 9
12y = 9

Divide each side by '12'.
y = 0.75

Simplifying
y = 0.75