Where you've said push the piston back, this is a subject under debate.
There is an argument that the one spot in the "sealed system" where contaminates may enter is when the pads are replaced and the pistons forced back. The solution to this is to clamp off the flexible tube, open the bleed valve and push the pistons back. This then removes the excess oil - which is the oil most likely to have been subjected to extremes of heat.
Whether you agree or not, this is a method used by high end performance vehicle mechanics.
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I thought the van was blue, but now I'm told its Lilac