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

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

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

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

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

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

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

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

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

Solving
3c = 6c + -3y

Solving for variable 'c'.

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

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

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

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

Divide each side by '-3'.
c = y

Simplifying
c = y