1. **State the problem:** Solve the equation $2y + X = 3$ for $y$. 2. **Formula and rules:** To isolate $y$, we need to get $y$ alone on one side of the equation. This involves subtracting $X$ from both sides and then dividing by 2. 3. **Step-by-step solution:** Start with the equation: $$2y + X = 3$$ Subtract $X$ from both sides: $$2y + X - X = 3 - X$$ $$2y = 3 - X$$ Divide both sides by 2 to solve for $y$: $$y = \frac{3 - X}{2}$$ Show the cancellation explicitly: $$y = \frac{\cancel{2} \cdot y}{\cancel{2}} = \frac{3 - X}{2}$$ 4. **Final answer:** $$y = \frac{3 - X}{2}$$ This means $y$ is half of the quantity $3 - X$.