I,ve owned many Les Pauls in my time and I had the same issue with all of them (g string won,t stay in tune , you bend it and it goes flat , you play the string open and it goes sharp ) The only way to fix the problem is to get a Les Paul with a floyd rose , I love the sound of the Les Paul but I don,t own one because of this problem . They want $5000 Ca for a Les Paul with a floyd and that is two rich for my blood , So now I play BCR guitars.