
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 a set of data of two variables with a linear correlation relationship $(x\_1,y\_1)$, $(x\_2,y\_2)$, $...(x\_n,y\_n)$, the regression line equation is $\hat{y}=bx+0.2$. If the average of $x\_1$, $x\_2$, $...$, $x\_n$ is $\overline{x}=4$, and the average of $y\_1$, $y\_2$, $...$, $y\_n$ is $\overline{y}=5$, then the approximate value of $y$ when $x=2$ is _____.

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