
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
Let $y$ be a piecewise linear function defined by:
\[
y = 
\begin{cases} 
  k_1x & \text{if } x < 0 \\
  k_2x & \text{if } x \geq 0
\end{cases}
\]
Given $y = 4$ when $x = 2$, and $y = -20$ when $x = -5$, find $k_1$ and $k_2$, and then evaluate $y$ when $x = 10$.

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