
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
In a certain city, the taxi fare is as follows: for distances within $3$ km (including $3$ km), a starting price of $10$ yuan is charged. For distances exceeding $3$ km, an additional $2$ yuan is charged for every extra $1$ km traveled. When $x > 3$, the function expression between the fare $y$ (in yuan) and the distance traveled $x$ (in km) is ______.

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