
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
The graph of the function $f(x)= \sqrt {3}\sin 2x-\cos 2x$ is translated to the left by $\varphi (0 < \varphi < \dfrac {\pi}{2})$ units to obtain the graph of the function $y=g(x)$. If $g(x)\leqslant |g( \dfrac {\pi}{6})|$ holds for all $x\in\mathbb{R}$, determine the interval of decrease for the function $y=g(x)$.

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