Final answer:
To determine the level Sam is on after moving down 9y floors and up 3y floors from the 5th floor, we calculate it as 5 - 9y + 3y, which simplifies to 5 - 6y.
Step-by-step explanation:
If Sam starts on the 5th floor and moves 9y floors down and then 3y floors up, we need to determine the final level Sam is on.
To calculate this, we use the following mathematical expression:
Starting level: 5 floors
Moving down: -9y floors
Moving up: +3y floors
Final level = 5 - 9y + 3y
Final level = 5 - 6y
Therefore, Sam will be on the level represented by 5 - 6y after completing these movements.