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I just moved into new duplex that has a decent sized laundry room. During my move I brought my portable compact dishwasher (very similar to this one). I don’t have counter-top space to position the dishwasher near the sink since it requires the sink faucet hookup by default. I have some extra space in the laundry room and I’m considering splitting the water and drain hookups for the washing machine to accommodate the washing machine and dishwasher.

Is this something that would be possible without too much trouble? If so what would be the best way to go about making this type of modification?