
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
Translate the graph of the function $y=\sin \left( x+\frac{\pi }{6} \right)$ to the left by $\frac{\pi }{4}$ units, and then expand the x-coordinates of all points on the graph by a factor of $2$ (the y-coordinates remain unchanged), determine the equation of the resulting graph.

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