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With the washing machine hose being decades old and doubling back on itself. Plus the hot water pipework looking like a dogs dinner, why not redo both hot and cold from just below the cabinet?
Hot:- push fit coupler, pipe, isolation valve, pipe, union nut onto tap tail.
Likewise on the cold but an additional T for washing machine valve pointing left to give a less stressed route for a new hose
I have a new washing machine connector, but can't get the old one off.
Will try again next time I'm there. In a horrible position at the back of the cupboard so hard to get access.