1. **State the problem:** Solve the linear equation $3x + y = 33$ for $y$ in terms of $x$. 2. **Formula and rules:** To isolate $y$, subtract $3x$ from both sides of the equation. 3. **Intermediate work:** $$3x + y = 33$$ Subtract $3x$ from both sides: $$y = 33 - 3x$$ 4. **Explanation:** We rearranged the equation to express $y$ as a function of $x$. This form is useful for graphing or further analysis. **Final answer:** $$y = 33 - 3x$$