To solve for y in the equation
[tex]ax+by=c[/tex]We first subtract ax from both sides to get
[tex]ax+by-ax=c-ax[/tex][tex]by=c-ax[/tex]Finally, dividing both sides by b gives
[tex]\frac{by}{by}=\frac{c-ax}{b}[/tex][tex]\boxed{y=\frac{c-ax}{b}\text{.}}[/tex]which is our answer! Hence, choice B is the correct option.