
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
At a certain time of day, Tom begins walking up a slope at a speed described by the equation \((y^2 - 14y + 45)\) miles per hour. Simultaneously, Jerry, walking a consistent route, covers a total distance of \((y^2 - 2y - 35)\) miles in \((y - 5)\) hours. If both walked at the same average speed, what is that speed, in miles per hour?

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