How do you solve for x in (a-3y)/ b +4=a+y?

Oct 1, 2016

I assume the question is to solve the equation for $y$ (not $x$), and I show it in the explanation section.

Explanation:

First step is to multiply by $b$ to change both sides to polynomials.

$a - 3 y + 4 b = a b + y b$

Now we move the unknown $y$ to left and other terms to right side:

$- 3 y - b y = a b - a - 4 b$

Now we have to factorize left side to get $y$ in one term only:

$- y \left(b + 3\right) = a b - a - 4 b$

Next step is to multiply by $\left(- 1\right)$:

$y \left(b + 3\right) = a + 4 b - a b$

Finally we divide both sides by $\left(b + 3\right)$ to leave $y$ alone

Answer: $y = \frac{a + 4 b - a b}{b + 3}$