
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
In a mathematics test, the variables \(x\) and \(y\) have a relationship given by \(\frac{x}{y+1} = \frac{4}{5}\). Find the value of \(z\) if it satisfies the equation \(3z = 2x + y\) and \(y = 10\).
A) $\frac{43}{5}$
B) $\frac{44}{5}$
C) $\frac{45}{5}$
D) $\frac{46}{5}$

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