3(y+2)+4(y+8)=9x

Solution for 3(y+2)+4(y+8)=9x equation:

Simplifying
3(y + 2) + 4(y + 8) = 9x

Reorder the terms:
3(2 + y) + 4(y + 8) = 9x
(2 * 3 + y * 3) + 4(y + 8) = 9x
(6 + 3y) + 4(y + 8) = 9x

Reorder the terms:
6 + 3y + 4(8 + y) = 9x
6 + 3y + (8 * 4 + y * 4) = 9x
6 + 3y + (32 + 4y) = 9x

Reorder the terms:
6 + 32 + 3y + 4y = 9x

Combine like terms: 6 + 32 = 38
38 + 3y + 4y = 9x

Combine like terms: 3y + 4y = 7y
38 + 7y = 9x

Solving
38 + 7y = 9x

Solving for variable 'y'.

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

Add '-38' to each side of the equation.
38 + -38 + 7y = -38 + 9x

Combine like terms: 38 + -38 = 0
0 + 7y = -38 + 9x
7y = -38 + 9x

Divide each side by '7'.
y = -5.428571429 + 1.285714286x

Simplifying
y = -5.428571429 + 1.285714286x