1. **State the problem:** Solve the linear equation $2x + y = 8$ for $y$ in terms of $x$. 2. **Formula and rules:** To solve for $y$, isolate $y$ on one side of the equation by subtracting $2x$ from both sides. 3. **Intermediate work:** $$2x + y = 8$$ Subtract $2x$ from both sides: $$y = 8 - 2x$$ 4. **Explanation:** We rearranged the equation to express $y$ as a function of $x$. This form is useful for graphing or further analysis. 5. **Final answer:** $$y = 8 - 2x$$