Let $a=3 \sqrt{2}$ and $b=\frac{1}{5^{\frac{1}{6}} \sqrt{6}}$. If $x, y \in R$ are such that $3 x+2 y=\log _a(18)^{\frac{5}{4}}$ and $2 x-y=\log _b(\sqrt{1080})$ then $4 x+5 y$ is equal to $\_\_\_\_$ .
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