1. State the problem: Solve the equation $$Y^2 - \frac{9}{9} - y = 10$$ for $y$. 2. Simplify the equation: Since $\frac{9}{9} = 1$, the equation becomes $$Y^2 - 1 - y = 10$$. 3. Rearrange terms: Add $1$ to both sides to isolate terms involving $y$: $$Y^2 - y = 11$$. 4. Rewrite the equation explicitly in terms of $y$: $$Y^2 - y = 11 \implies -y = 11 - Y^2 \implies y = Y^2 - 11$$. 5. Final answer: The value of $y$ in terms of $Y$ is $$\boxed{y = Y^2 - 11}$$.