Intermediate Algebra: Connecting Concepts through Application

$b=\frac{55}{4}$
Step 1: $\frac{4}{5}b-5=6$ Step 2: Add 5 to both sides: $\frac{4}{5}b-5+5=6+5$. Step 3: $\frac{4}{5}b=11$ Step 4: Multiply both sides by 5: $\frac{4}{5}b\times5=11\times5$. Step 5: $4b=55$ Step 6: Divide both sides by 4: $\frac{4b}{4}=\frac{55}{4}$. Step 7: $b=\frac{55}{4}$