9(y+4)+y=2(y+2)+6

Solution for 9(y+4)+y=2(y+2)+6 equation:

Simplifying
9(y + 4) + y = 2(y + 2) + 6

Reorder the terms:
9(4 + y) + y = 2(y + 2) + 6
(4 * 9 + y * 9) + y = 2(y + 2) + 6
(36 + 9y) + y = 2(y + 2) + 6

Combine like terms: 9y + y = 10y
36 + 10y = 2(y + 2) + 6

Reorder the terms:
36 + 10y = 2(2 + y) + 6
36 + 10y = (2 * 2 + y * 2) + 6
36 + 10y = (4 + 2y) + 6

Reorder the terms:
36 + 10y = 4 + 6 + 2y

Combine like terms: 4 + 6 = 10
36 + 10y = 10 + 2y

Solving
36 + 10y = 10 + 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 + 10y + -2y = 10 + 2y + -2y

Combine like terms: 10y + -2y = 8y
36 + 8y = 10 + 2y + -2y

Combine like terms: 2y + -2y = 0
36 + 8y = 10 + 0
36 + 8y = 10

Add '-36' to each side of the equation.
36 + -36 + 8y = 10 + -36

Combine like terms: 36 + -36 = 0
0 + 8y = 10 + -36
8y = 10 + -36

Combine like terms: 10 + -36 = -26
8y = -26

Divide each side by '8'.
y = -3.25

Simplifying
y = -3.25