3y-6=6(y+1)

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

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

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

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

Solving
-6 + 3y = 6 + 6y

Solving for variable 'y'.

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

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

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

Combine like terms: 6y + -6y = 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