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If 2^(2x+y)=4^(x-y-3)=1, then (x, y) is...

If `2^(2x+y)=4^(x-y-3)=1`, then `(x, y)` is

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`2^(2x+y)=2^(2x-2y-6)=1`
`2x+y=2x-2y-6`
`3y=-6`
`y=-2`
`2^(2x-2y-6)=1=2^0`
`2x-2y-6=0`
`2x+4-6=0`
`x=1`
...
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