1. **State the problem:** Solve the equation $-3y = 33$ for $y$. 2. **Formula and rules:** To solve for $y$, divide both sides of the equation by $-3$. 3. **Intermediate work:** $$-3y = 33$$ Divide both sides by $-3$: $$\cancel{-3}y = \frac{33}{\cancel{-3}}$$ This simplifies to: $$y = -11$$ 4. **Explanation:** Dividing both sides by $-3$ isolates $y$. The division cancels the $-3$ on the left side, leaving $y$ alone. On the right side, $33$ divided by $-3$ equals $-11$. **Final answer:** $$y = -11$$