
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
In triangle $ABC$, let $a$, $b$, and $c$ be the sides opposite to the angles $A$, $B$, and $C$, respectively. It is given that $2\sin B = \sin A + \sin C$ and $\cos B = \frac{3}{5}$, while the area of triangle $ABC$, denoted as $S_{\triangle ABC}$, is 4. Find the value of $b$.

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