# A lot of variables

Algebra Level 2

If $$a^x=b^y=c^z$$ and $$a^3=b^2c$$, with $$x,y,z$$ are non zero numbers, and $$a, b, c$$ are positive non-one numbers.

What is the value of $$\dfrac{3}{x}-\dfrac{2}{y}$$?

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