1. **State the problem:** Solve the linear equation $(m+2)x + 5y = m$ for $y$ in terms of $x$ and $m$. 2. **Formula and rules:** To isolate $y$, we use the rule of transposition and division. We want to express $y$ as a function of $x$ and $m$. 3. **Isolate $y$:** $$ (m+2)x + 5y = m $$ Subtract $(m+2)x$ from both sides: $$ 5y = m - (m+2)x $$ 4. **Divide both sides by 5:** $$ y = \frac{m - (m+2)x}{5} $$ Show cancellation explicitly: $$ y = \frac{\cancel{5} \cdot \frac{m - (m+2)x}{\cancel{5}}}{1} = \frac{m - (m+2)x}{5} $$ 5. **Final expression:** $$ y = \frac{m - (m+2)x}{5} $$ This expresses $y$ in terms of $x$ and $m$ clearly and completely.