6(y+7)+y=3(y+2)-8

Solution for 6(y+7)+y=3(y+2)-8 equation:

Simplifying
6(y + 7) + y = 3(y + 2) + -8

Reorder the terms:
6(7 + y) + y = 3(y + 2) + -8
(7 * 6 + y * 6) + y = 3(y + 2) + -8
(42 + 6y) + y = 3(y + 2) + -8

Combine like terms: 6y + y = 7y
42 + 7y = 3(y + 2) + -8

Reorder the terms:
42 + 7y = 3(2 + y) + -8
42 + 7y = (2 * 3 + y * 3) + -8
42 + 7y = (6 + 3y) + -8

Reorder the terms:
42 + 7y = 6 + -8 + 3y

Combine like terms: 6 + -8 = -2
42 + 7y = -2 + 3y

Solving
42 + 7y = -2 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
42 + 7y + -3y = -2 + 3y + -3y

Combine like terms: 7y + -3y = 4y
42 + 4y = -2 + 3y + -3y

Combine like terms: 3y + -3y = 0
42 + 4y = -2 + 0
42 + 4y = -2

Add '-42' to each side of the equation.
42 + -42 + 4y = -2 + -42

Combine like terms: 42 + -42 = 0
0 + 4y = -2 + -42
4y = -2 + -42

Combine like terms: -2 + -42 = -44
4y = -44

Divide each side by '4'.
y = -11

Simplifying
y = -11