
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
Find the sum of all \( y \) that satisfy the equation \( \frac{-4y}{y^2 - 1} = \frac{3y}{y + 1} - \frac{8}{y - 1} \).

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