
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
A student buys a certain type of pencil. When he buys $x$ pencils and pays $y$ yuan ($x$ and $y$ are integers), the clerk says, "If you buy 10 more pencils, I will charge you a total of 2 yuan. This means you can save 2 yuan for every 30 pencils you buy." Find $x$ and $y$.

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