
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 girl bought $x$ roses in a store, paying $y$ dollars for all (where $x$ and $y$ are integers). As she was about to leave, the seller told her: "If you had bought 10 more roses, I would have given you all the roses for 2 dollars and you would have saved 80 cents on each dozen." Find $x$ and $y$.

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