6(y+7)+y=2(y+4)-5

Solution for 6(y+7)+y=2(y+4)-5 equation:

Simplifying
6(y + 7) + y = 2(y + 4) + -5

Reorder the terms:
6(7 + y) + y = 2(y + 4) + -5
(7 * 6 + y * 6) + y = 2(y + 4) + -5
(42 + 6y) + y = 2(y + 4) + -5

Combine like terms: 6y + y = 7y
42 + 7y = 2(y + 4) + -5

Reorder the terms:
42 + 7y = 2(4 + y) + -5
42 + 7y = (4 * 2 + y * 2) + -5
42 + 7y = (8 + 2y) + -5

Reorder the terms:
42 + 7y = 8 + -5 + 2y

Combine like terms: 8 + -5 = 3
42 + 7y = 3 + 2y

Solving
42 + 7y = 3 + 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.
42 + 7y + -2y = 3 + 2y + -2y

Combine like terms: 7y + -2y = 5y
42 + 5y = 3 + 2y + -2y

Combine like terms: 2y + -2y = 0
42 + 5y = 3 + 0
42 + 5y = 3

Add '-42' to each side of the equation.
42 + -42 + 5y = 3 + -42

Combine like terms: 42 + -42 = 0
0 + 5y = 3 + -42
5y = 3 + -42

Combine like terms: 3 + -42 = -39
5y = -39

Divide each side by '5'.
y = -7.8

Simplifying
y = -7.8