
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 numbers  $x, y, z$  are proportional to  $2, 3, 5$. The sum of  $x$,  $y$, and  $z$  is  $100$. The number  $y$  is given by the equation  $y \equal{} ax \minus{} 10$. Find the value of $a$.

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