
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
Which of the following statements is correct?

\\(①\\) If \\((2x-1)+i=y-(3-y)i\\), where \\(x∈R\\) and \\(y∈\mathbb{C}\setminus\mathbb{R}\\), then it must be that \\(\begin{cases} & 2x-1=y, \\\\ & 1=-(3-y); \end{cases}\\)\\(②2+i > 1+i\\); \\(③\\) Points on the imaginary axis represent purely imaginary numbers; \\(④\\) If a number is real, then it has no imaginary part; \\(⑤\\) If \\(z=\\dfrac{1}{i}\\), then \\(z^{3}+1\\) corresponds to a point in the first quadrant of the complex plane.

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