6(y+1)=2y+18

Solution for 6(y+1)=2y+18 equation:

Simplifying
6(y + 1) = 2y + 18

Reorder the terms:
6(1 + y) = 2y + 18
(1 * 6 + y * 6) = 2y + 18
(6 + 6y) = 2y + 18

Reorder the terms:
6 + 6y = 18 + 2y

Solving
6 + 6y = 18 + 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 = 18 + 2y + -2y

Combine like terms: 6y + -2y = 4y
6 + 4y = 18 + 2y + -2y

Combine like terms: 2y + -2y = 0
6 + 4y = 18 + 0
6 + 4y = 18

Add '-6' to each side of the equation.
6 + -6 + 4y = 18 + -6

Combine like terms: 6 + -6 = 0
0 + 4y = 18 + -6
4y = 18 + -6

Combine like terms: 18 + -6 = 12
4y = 12

Divide each side by '4'.
y = 3

Simplifying
y = 3