
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
Consider a map of a city represented by a Cartesian plane, where Daniel is located at $(10, -5)$ and Emma at $(0, 20)$. They decide to meet at a point that aligns with the y-axis and is equidistant from each of their locations on the y-axis, then walk together vertically to reach Florence’s location at $(3, 15)$. How many units do they walk upwards together to reach Florence?

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