
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 function $y = \sin x$, each point on its graph undergoes a transformation where the y-coordinate remains unchanged, and the x-coordinate is reduced to $\frac{1}{2}$ of its original value. The resulting graph is then shifted to the right by $\frac{\pi}{3}$ units. Determine the analytical expression of the function corresponding to the final graph obtained.

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