1. **State the problem:** Solve the inequality $3 - 4y < 7$ for $y$. 2. **Isolate the term with $y$:** Subtract 3 from both sides: $$3 - 4y - 3 < 7 - 3$$ which simplifies to $$-4y < 4$$ 3. **Divide both sides by $-4$ to solve for $y$:** When dividing an inequality by a negative number, the inequality sign reverses: $$\frac{-4y}{\cancel{-4}} > \frac{4}{\cancel{-4}}$$ which simplifies to $$y > -1$$ 4. **Final answer:** $$y > -1$$ This means $y$ must be greater than $-1$ to satisfy the inequality.