
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
The equation $y = -4t^2 - 8t + 80$ represents the height (in meters) of a stone thrown downward with an initial velocity of 8 meters per second from a height of 80 meters. Determine the time in seconds it takes for the stone to hit the ground. Round your answer to the nearest hundredth.

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