6(y+8)+y=2(y+4)-5

Solution for 6(y+8)+y=2(y+4)-5 equation:

Simplifying
6(y + 8) + y = 2(y + 4) + -5

Reorder the terms:
6(8 + y) + y = 2(y + 4) + -5
(8 * 6 + y * 6) + y = 2(y + 4) + -5
(48 + 6y) + y = 2(y + 4) + -5

Combine like terms: 6y + y = 7y
48 + 7y = 2(y + 4) + -5

Reorder the terms:
48 + 7y = 2(4 + y) + -5
48 + 7y = (4 * 2 + y * 2) + -5
48 + 7y = (8 + 2y) + -5

Reorder the terms:
48 + 7y = 8 + -5 + 2y

Combine like terms: 8 + -5 = 3
48 + 7y = 3 + 2y

Solving
48 + 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.
48 + 7y + -2y = 3 + 2y + -2y

Combine like terms: 7y + -2y = 5y
48 + 5y = 3 + 2y + -2y

Combine like terms: 2y + -2y = 0
48 + 5y = 3 + 0
48 + 5y = 3

Add '-48' to each side of the equation.
48 + -48 + 5y = 3 + -48

Combine like terms: 48 + -48 = 0
0 + 5y = 3 + -48
5y = 3 + -48

Combine like terms: 3 + -48 = -45
5y = -45

Divide each side by '5'.
y = -9

Simplifying
y = -9