
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 real numbers $x$ and $y$ satisfying $-4\leqslant x-y\leqslant -1$ and $-1\leqslant 4x-y\leqslant 5$, determine the range of values for $z=9x-y$.

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