
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
Pirate Pete shares his treasure with Pirate Paul in an interesting way. Pete first says, ``One for me, one for you,'' giving himself one coin and starting Paul's pile with one coin. Then Pete says, ``Two for me, and two for you,'' giving himself two more coins but making Paul's pile two coins in total. This pattern continues until Pete gives himself $y$ more coins but makes Paul's pile $y$ coins in total. At this point all of the coins have been distributed, and Pirate Pete has exactly five times as many coins as Pirate Paul. How many gold coins do they have in total?

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