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Apply a bead of plumber's putty at the bottom of the valve handles and faucet.
Attach the handles and faucet to the sink by tightening the nut. Not too tight or you could crack the sink.
Attach the drain throat to the drain basket. Use teflon tape on the tightening threads to insure a watertight connection.
Remove the old sink. Set the sink into place (Image 1) and use it as a template to determine where the lag screws need to go. Pre-drill holes for the lag screws and use the nuts to screw them into the wall. You may want to slide out the pedestal to work on the trap.
Connect the trap and the water supply lines (Image 2).