6(y-4)=2(6+y)

Solution for 6(y-4)=2(6+y) equation:

Simplifying
6(y + -4) = 2(6 + y)

Reorder the terms:
6(-4 + y) = 2(6 + y)
(-4 * 6 + y * 6) = 2(6 + y)
(-24 + 6y) = 2(6 + y)
-24 + 6y = (6 * 2 + y * 2)
-24 + 6y = (12 + 2y)

Solving
-24 + 6y = 12 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-24 + 6y + -2y = 12 + 2y + -2y

Combine like terms: 6y + -2y = 4y
-24 + 4y = 12 + 2y + -2y

Combine like terms: 2y + -2y = 0
-24 + 4y = 12 + 0
-24 + 4y = 12

Add '24' to each side of the equation.
-24 + 24 + 4y = 12 + 24

Combine like terms: -24 + 24 = 0
0 + 4y = 12 + 24
4y = 12 + 24

Combine like terms: 12 + 24 = 36
4y = 36

Divide each side by '4'.
y = 9

Simplifying
y = 9