
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
Given that the normal vector of plane $\alpha$ is $\overrightarrow{n_{1}} = (x, 1, -2)$, and the normal vector of plane $\beta$ is $\overrightarrow{n_{2}} = (-1, y, \frac{1}{2})$. If plane $\alpha$ is parallel to plane $\beta$, find the value of $x + y$.

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