
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
Abel took 45 Yuan to the market. After buying 4 bottles of honey and 2 pieces of cake, he had money left. If he uses the remaining money to buy 2 more pieces of cake, he would still be short of 0.2 Yuan (2 Jiao); but if he uses the remaining money to buy 2 more bottles of honey, he would have 4.4 Yuan (4 Yuan 4 Jiao) left. Determine the cost of one piece of cake.

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