6(y-1)=2(y+7)

Solution for 6(y-1)=2(y+7) equation:

Simplifying
6(y + -1) = 2(y + 7)

Reorder the terms:
6(-1 + y) = 2(y + 7)
(-1 * 6 + y * 6) = 2(y + 7)
(-6 + 6y) = 2(y + 7)

Reorder the terms:
-6 + 6y = 2(7 + y)
-6 + 6y = (7 * 2 + y * 2)
-6 + 6y = (14 + 2y)

Solving
-6 + 6y = 14 + 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.
-6 + 6y + -2y = 14 + 2y + -2y

Combine like terms: 6y + -2y = 4y
-6 + 4y = 14 + 2y + -2y

Combine like terms: 2y + -2y = 0
-6 + 4y = 14 + 0
-6 + 4y = 14

Add '6' to each side of the equation.
-6 + 6 + 4y = 14 + 6

Combine like terms: -6 + 6 = 0
0 + 4y = 14 + 6
4y = 14 + 6

Combine like terms: 14 + 6 = 20
4y = 20

Divide each side by '4'.
y = 5

Simplifying
y = 5