
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
Point $A$ is at $(0, 0)$ and point $B$ is on the line $y = 6$. The slope of segment $AB$ is $\frac{3}{4}$. Point $C$ lies on the y-axis with a slope of $\frac{1}{2}$ from $B$ to $C$. What is the sum of the coordinates of point $C$?

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