To determine the equation Hill is solving, we can think about the effect of dividing both sides by 5. If we denote the original equation before the second step as:
\[ 5x = y \]
where \( y \) represents the right-hand side, then when Hill divides both sides of the equation by 5, he will have:
\[ x = \frac{y}{5} \]
Thus, the equation he could be solving is:
\[ 5x = y \]
or similar equations where the left-hand side is multiplied by 5. If you provide a more specific context or additional information, I could help identify the equation even further!