
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 store clerk mistakenly counted $x$ quarters as half dollars and $y$ nickels as dimes. Due to these errors, the calculated total was more than the actual money received. Determine the amount in cents that should be subtracted from the calculated amount to rectify this error.

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