1. **State the problem:** Simplify the expression $$\frac{y^{-6}}{y}$$. 2. **Recall the rule for dividing powers with the same base:** When dividing powers with the same base, subtract the exponents: $$\frac{a^m}{a^n} = a^{m-n}$$. 3. **Apply the rule:** Here, the base is $y$, the exponent in the numerator is $-6$, and the exponent in the denominator is $1$. So, $$\frac{y^{-6}}{y^1} = y^{-6 - 1}$$ 4. **Simplify the exponent:** $$y^{-6 - 1} = y^{-7}$$ 5. **Final answer:** $$\boxed{y^{-7}}$$ This means the expression simplifies to $y$ raised to the power of $-7$, which can also be written as $$\frac{1}{y^7}$$ if you prefer positive exponents.