
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
During this long break, Xiaoling solved the equation $\frac{x-1}{2}-\frac{2-3x}{3}=1$ step by step as follows:<br/>① Clear the denominators to get $3\left(x-1\right)-2\left(2-3x\right)=1$;<br/>② Expand the brackets to get $3x-3-4-6x=1$;<br/>③ Rearrange the terms to get $3x-6x=1+3+4$;<br/>④ Combine like terms to get $-3x=8$;<br/>⑤ Normalize the coefficient to $1$ to get $x=-\frac{8}{3}$.<br/>$(1)$ Are you smart enough to know if Xiaoling's solution process is correct? Answer: ______ (Fill in "Yes" or "No"), if not correct, the problem started from step ______ (Fill in the step number);<br/>$(2)$ Please write down the correct solution process for this problem.

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