
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 that 60% of the initial students answered "Yes" to a survey, 40% answered "No." At the end of the year, 80% answered "Yes" and 20% answered "No." Additionally, 10% of the class left and were replaced by new students who all answered "Yes." Determine the difference between the maximum and the minimum possible values of y, where y represents the percentage of students who gave a different answer at the beginning and end of the year.

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