1. **State the problem:** Solve for $y$ in the equation $6 = 11 - y$. 2. **Isolate the variable $y$:** To solve for $y$, we want to get $y$ alone on one side of the equation. Start by subtracting 11 from both sides: $$6 - 11 = 11 - y - 11$$ 3. **Simplify both sides:** $$\cancel{6 - 11} = \cancel{11 - 11} - y$$ $$-5 = -y$$ 4. **Solve for $y$:** Multiply both sides by $-1$ to get $y$ positive: $$-1 \times (-5) = -1 \times (-y)$$ $$5 = y$$ 5. **Final answer:** $$y = 5$$ This means the value of $y$ that satisfies the equation $6 = 11 - y$ is $5$.