
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Two numbers \( x \) and \( y \) have a product which is equal to their sum. Which of these expressions gives \( x \) in terms of \( y \)?
A) \(\frac{y}{y-1}\)
B) \(\frac{y}{y+1}\)
C) \(\frac{y+1}{y}\)
D) \(\frac{y-1}{y}\)
E) \(\frac{y^{2}}{y+1}\)

Present the answer in LaTex format: \boxed{Your answer}
user