6(y+6)+y=2(y+3)-8

Solution for 6(y+6)+y=2(y+3)-8 equation:

Simplifying
6(y + 6) + y = 2(y + 3) + -8

Reorder the terms:
6(6 + y) + y = 2(y + 3) + -8
(6 * 6 + y * 6) + y = 2(y + 3) + -8
(36 + 6y) + y = 2(y + 3) + -8

Combine like terms: 6y + y = 7y
36 + 7y = 2(y + 3) + -8

Reorder the terms:
36 + 7y = 2(3 + y) + -8
36 + 7y = (3 * 2 + y * 2) + -8
36 + 7y = (6 + 2y) + -8

Reorder the terms:
36 + 7y = 6 + -8 + 2y

Combine like terms: 6 + -8 = -2
36 + 7y = -2 + 2y

Solving
36 + 7y = -2 + 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.
36 + 7y + -2y = -2 + 2y + -2y

Combine like terms: 7y + -2y = 5y
36 + 5y = -2 + 2y + -2y

Combine like terms: 2y + -2y = 0
36 + 5y = -2 + 0
36 + 5y = -2

Add '-36' to each side of the equation.
36 + -36 + 5y = -2 + -36

Combine like terms: 36 + -36 = 0
0 + 5y = -2 + -36
5y = -2 + -36

Combine like terms: -2 + -36 = -38
5y = -38

Divide each side by '5'.
y = -7.6

Simplifying
y = -7.6