1. **State the problem:** Solve the linear equation $2x + y = 7$ for $y$ in terms of $x$. 2. **Formula and rules:** To isolate $y$, subtract $2x$ from both sides of the equation. 3. **Intermediate work:** $$2x + y = 7$$ Subtract $2x$ from both sides: $$\cancel{2x} + y - \cancel{2x} = 7 - 2x$$ which simplifies to $$y = 7 - 2x$$ 4. **Explanation:** We moved the term $2x$ to the right side by subtracting it from both sides, leaving $y$ alone on the left side. This gives the expression for $y$ in terms of $x$. **Final answer:** $$y = 7 - 2x$$