
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
Consider the lines \begin{align*}
y&=2x+3, \\
3y&=6x+9, \\
y&=4x-2, \\
2y&=-8x+6, \\
4y&=-16x+12.
\end{align*}
Determine if there are any pairs of lines that are "good" (either parallel or perpendicular to each other).

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