
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
Given the system of equations
\begin{align*}
xy &= 8 - 3x - 2y,\\
yz &= 15 - 5y - 3z,\\
xz &= 40 - 5x - 4z,
\end{align*}
find the positive solution for $y$.

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