1. **State the problem:** Solve the equation $$-16y + y + 20 = -15y + 20$$ and determine how many solutions it has. 2. **Simplify both sides:** Combine like terms on the left side: $$-16y + y = -15y$$ So the equation becomes: $$-15y + 20 = -15y + 20$$ 3. **Analyze the equation:** Both sides are identical expressions. 4. **Interpretation:** Since the equation simplifies to an identity, it is true for all values of $y$. 5. **Conclusion:** The equation has infinitely many solutions because every value of $y$ satisfies it. **Final answer:** Infinitely many solutions.