6(y-1)=3y+6

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

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

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

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

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

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

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

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

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

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

Divide each side by '3'.
y = 4

Simplifying
y = 4