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Solving an Exponential Equation for Two Variables

Algebra · Math Count PH 2024 1000
Find a solution, where $x$ and $y$ are both rational numbers, for the following:$$ \left(2^{x-4y}\right)\left(3^{3x+6y-1}\right) = 72$$The answer is an ordered pair $(x,y)$. Input the value of $6(x+y)$.