
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 the following data, calculate how much cheaper, in cents, the cheaper store's price for a gadget $Y$ is compared to the more expensive store. \begin{tabular}{|l|l|}
\hline
\textbf{Store}& \textbf{Sale Price for Gadget $Y$} \\ \hline
Mega Deals & $12\%$ off the list price $\$78.50$, then an additional $\$5$ off \\ \hline
Quick Save & $30\%$ off the list price $\$78.50$ \\ \hline
\end{tabular}

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