
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 starting price of $8$ yuan for a taxi for distances less than or equal to $3$ kilometers, and an additional $1.6$ yuan charged for each additional kilometer for distances exceeding $3$ kilometers, find the analytical expression for the taxi fare $y$ (in yuan) in terms of the distance traveled $x$ (in kilometers).

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