
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 a linear function $y=3x+4-2m$:<br/>$(1)$ If the intersection point of the graph of this function with the $y$-axis is located in the negative half of the $y$-axis, then the range of $m$ is ____;<br/>$(2)$ When $-2\leqslant x\leqslant 3$, the function $y$ has a maximum value of $-4$, then the value of $m$ is ____.

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