1. **State the problem:** Solve for $b$ in the equation $84=4+\frac{8}{b}$. 2. **Isolate the fraction:** Subtract 4 from both sides: $$84 - 4 = \frac{8}{b}$$ $$80 = \frac{8}{b}$$ 3. **Rewrite the equation:** To solve for $b$, rewrite as: $$80 = \frac{8}{b} \implies 80b = 8$$ 4. **Solve for $b$:** Divide both sides by 80: $$b = \frac{8}{80}$$ 5. **Simplify the fraction:** $$b = \frac{\cancel{8}}{\cancel{80}} = \frac{1}{10}$$ 6. **Final answer:** $$b = \frac{1}{10}$$