
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
Sarah and Emily are both fans of classical music. Their respective collections share fifteen of the same albums. Sarah has twenty-three albums in her collection. Eight albums are in Emily's collection, but not in Sarah's. How many albums are in either Sarah's or Emily's collection, but not both?

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