8(y+4)-(y-5)=x

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

Simplifying
8(y + 4) + -1(y + -5) = x

Reorder the terms:
8(4 + y) + -1(y + -5) = x
(4 * 8 + y * 8) + -1(y + -5) = x
(32 + 8y) + -1(y + -5) = x

Reorder the terms:
32 + 8y + -1(-5 + y) = x
32 + 8y + (-5 * -1 + y * -1) = x
32 + 8y + (5 + -1y) = x

Reorder the terms:
32 + 5 + 8y + -1y = x

Combine like terms: 32 + 5 = 37
37 + 8y + -1y = x

Combine like terms: 8y + -1y = 7y
37 + 7y = x

Solving
37 + 7y = x

Solving for variable 'y'.

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

Add '-37' to each side of the equation.
37 + -37 + 7y = -37 + x

Combine like terms: 37 + -37 = 0
0 + 7y = -37 + x
7y = -37 + x

Divide each side by '7'.
y = -5.285714286 + 0.1428571429x

Simplifying
y = -5.285714286 + 0.1428571429x