
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
The function $f\left(x\right)=\left[x\right]$ represents the greatest integer not exceeding $x$. For example, $\left[-3.5\right]=-4$, $\left[2.1\right]=2$. When $x\in \left(-2.5,3\right]$, the range of $y=x-f\left(x\right)$ is ______.

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