
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
Given points \( P(-3, 8) \) and \( Q(5, y) \) in a coordinate plane, for what value of \( y \) is the slope of the line through \( P \) and \( Q \) equal to \( -\frac{5}{4} \)? Additionally, find the coordinates of point \( R \) on this line such that \( R \) is horizontally 6 units from \( Q \).

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