
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
Consider the function $y=\sin(4x-\frac{\pi}{6})$. If each point's abscissa on the graph is stretched to twice its original length, then shifted left by $\frac{\pi}{4}$ units (while keeping the ordinate unchanged), determine the equation of one symmetric axis of the resulting graph.

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