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

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

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

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

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

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

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

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

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

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

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

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

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