
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
If $y$ varies directly as $x$ with a proportionality constant different from that for $z$, which also varies directly as $x$, and if $y = 10$ when $x = 5$, and $z = 15$ when $x = 5$, find the value of $y$ when $z = 25$.
A) $\frac{50}{3}$
B) $\frac{75}{4}$
C) $\frac{25}{2}$
D) 20
E) $\frac{10}{3}$

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