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If I move the p trap to the wall and have the pipe coming to the sink (from the p trap) as high as possible, will the sink still drain okay?
You will have built yourself a running trap with five bends, ( 3 90's and 2 45's)'in the drain before it ever gets to the vent stack. NOT GOOD PLUMBING PRACTICE! Since lavatories, tubs and showers have a lot of hair matted with grease in their drain lines be prepared for future blockages. I like Massplumbers idea about cutting the basket. Do it his way and save yourself a load of problems. Regards, Tom