
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 private enterprise's workshop has 8 workers, an initial annual salary of 10,000 yuan per worker, and a 20% annual salary increase for existing workers, with 3 new workers being recruited each year, where new workers earn 8,000 yuan in the first year and the same as existing workers from the second year onwards, derive the expression for the total annual salary y (in ten thousand yuan) paid by the enterprise to its workers in the nth year.

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