
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 price of a product increased by 30% in January, decreased by 30% in February, increased by 40% in March, and then decreased by y% in April, find the value of y, to the nearest integer, if the price of the product at the end of April is the same as it was at the beginning of January.

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