9(y+8)+y=4(y+4)+6

Solution for 9(y+8)+y=4(y+4)+6 equation:

Simplifying
9(y + 8) + y = 4(y + 4) + 6

Reorder the terms:
9(8 + y) + y = 4(y + 4) + 6
(8 * 9 + y * 9) + y = 4(y + 4) + 6
(72 + 9y) + y = 4(y + 4) + 6

Combine like terms: 9y + y = 10y
72 + 10y = 4(y + 4) + 6

Reorder the terms:
72 + 10y = 4(4 + y) + 6
72 + 10y = (4 * 4 + y * 4) + 6
72 + 10y = (16 + 4y) + 6

Reorder the terms:
72 + 10y = 16 + 6 + 4y

Combine like terms: 16 + 6 = 22
72 + 10y = 22 + 4y

Solving
72 + 10y = 22 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
72 + 10y + -4y = 22 + 4y + -4y

Combine like terms: 10y + -4y = 6y
72 + 6y = 22 + 4y + -4y

Combine like terms: 4y + -4y = 0
72 + 6y = 22 + 0
72 + 6y = 22

Add '-72' to each side of the equation.
72 + -72 + 6y = 22 + -72

Combine like terms: 72 + -72 = 0
0 + 6y = 22 + -72
6y = 22 + -72

Combine like terms: 22 + -72 = -50
6y = -50

Divide each side by '6'.
y = -8.333333333

Simplifying
y = -8.333333333