
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
In Ms. Linette's mathematics class at the start of the semester, \(30\%\) of students answered "Yes" to "Do you enjoy studying mathematics?" and \(70\%\) answered "No." By the end of the semester, \(60\%\) of the students answered "Yes" and \(40\%\) answered "No". If \(y\%\) of students changed their opinion from the beginning to the end of the semester, find the difference between the maximum and minimum possible values of \(y\).
A) 10%
B) 20%
C) 30%
D) 40%
E) 50%

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