Another Type of Indeterminate Form?

Calculus Level 3

\[ \large -K \lim_{x\to\infty} \dfrac{\sqrt{9x^2-1} - x}{x-3} = \lim_{y\to-\infty} \dfrac{\sqrt{9y^2-1} - y}{y-3} \]

Given that constant \(K\) satisfy the equation above, find \(K\).

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