
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
Suppose functions \( h \) and \( k \) have the properties that \( h(y) = 4k^{-1}(y) \) and \( k(y) = \frac{40}{y+5} \). For what value of \( y \) does \( h(y) = 20 \)?

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