
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
Three variables, $x$, $y$, and $z$, are in the ratio $4:5:6$. Additionally, we know that $y = 15b - 5$. Determine the value of $b$ given that the sum of $x$, $y$, and $z$ is equal to 90.
A) $7$
B) $5$
C) $\frac{7}{3}$
D) $\frac{10}{3}$

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