1. **State the problem:** Solve the equation $$27y - 3 = 3(9y - 1)$$ for $y$. 2. **Apply the distributive property:** Expand the right side: $$27y - 3 = 27y - 3$$ 3. **Simplify both sides:** Notice both sides are identical: $$27y - 3 = 27y - 3$$ 4. **Interpret the result:** Since both sides are equal for all values of $y$, the equation is true for every $y$. 5. **Conclusion:** The equation is an identity, meaning it has infinitely many solutions. **Final answer:** The equation is an identity.