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