
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
In the rectangular coordinate system $(xOy)$, the parametric equation of the curve $(C_{1})$ is given by $\begin{cases} x=\frac {3}{2}\cos \alpha \\ y=\sin \alpha \end{cases} (\alpha \text{ is the parameter})$, $M$ is a moving point on $(C_{1})$, and $P$ is a point such that $\overrightarrow{OP}=2 \overrightarrow{OM}$. The trajectory of point $P$ forms the curve $(C_{2})$.

(I) Find the general equation of $(C_{2})$;
(II) If point $(x,y)$ lies on curve $(C_{2})$, find the range of values for $x+2y$.

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