Answer
$b=4\frac{3}{4}$
Work Step by Step
$\frac{b+4}{5}=\frac{7}{4}$ multiply both sides by 5
$\frac{b+4}{5}\times5=\frac{7}{4}\times5$ simplify
$b+4=\frac{35}{4}$ reduce
$b+4=8\frac{3}{4}$ subtract 4 from both sides
$b+4-4=8\frac{3}{4}-4$ simplify
$b=4\frac{3}{4}$