1. **State the problem:** Solve the equation $3 + \sqrt{27} - 3x = y$ for $y$ in terms of $x$. 2. **Simplify the square root:** Recall that $\sqrt{27} = \sqrt{9 \times 3} = \sqrt{9} \times \sqrt{3} = 3\sqrt{3}$. 3. **Rewrite the equation:** Substitute $\sqrt{27}$ with $3\sqrt{3}$: $$3 + 3\sqrt{3} - 3x = y$$ 4. **Express $y$ explicitly:** The equation is already solved for $y$: $$y = 3 + 3\sqrt{3} - 3x$$ 5. **Interpretation:** This is a linear function in $x$ with slope $-3$ and y-intercept $3 + 3\sqrt{3}$. **Final answer:** $$y = 3 + 3\sqrt{3} - 3x$$