
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
A right triangle with legs \(16\) and \(12\) is similar to another right triangle with corresponding legs \(y\) and \(9\), respectively. What is the value of \(y\)?

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