8(y+9)+y=3(y+3)-4

Solution for 8(y+9)+y=3(y+3)-4 equation:

Simplifying
8(y + 9) + y = 3(y + 3) + -4

Reorder the terms:
8(9 + y) + y = 3(y + 3) + -4
(9 * 8 + y * 8) + y = 3(y + 3) + -4
(72 + 8y) + y = 3(y + 3) + -4

Combine like terms: 8y + y = 9y
72 + 9y = 3(y + 3) + -4

Reorder the terms:
72 + 9y = 3(3 + y) + -4
72 + 9y = (3 * 3 + y * 3) + -4
72 + 9y = (9 + 3y) + -4

Reorder the terms:
72 + 9y = 9 + -4 + 3y

Combine like terms: 9 + -4 = 5
72 + 9y = 5 + 3y

Solving
72 + 9y = 5 + 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.
72 + 9y + -3y = 5 + 3y + -3y

Combine like terms: 9y + -3y = 6y
72 + 6y = 5 + 3y + -3y

Combine like terms: 3y + -3y = 0
72 + 6y = 5 + 0
72 + 6y = 5

Add '-72' to each side of the equation.
72 + -72 + 6y = 5 + -72

Combine like terms: 72 + -72 = 0
0 + 6y = 5 + -72
6y = 5 + -72

Combine like terms: 5 + -72 = -67
6y = -67

Divide each side by '6'.
y = -11.16666667

Simplifying
y = -11.16666667