
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
If the system of equations \begin{align*}
5x - 2y &= b,\\
3x + 4y &= 3b
\end{align*} has a solution \((x, y)\) where $y=3$, compute $b$.

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