The curve \(3x^2+xy-y^2+4y-3=0\) and the line \(y=2(1-x)\) intersect at the points \(A\) and \(B\).

(i) Find the coordinates of \(A\) and \(B\).

(ii) Find the equation of the perpendicular bisector of the line \(AB\), giving your answer in the form \(ax+by=c\), where \(a\), \(b\) and \(c\) are integers.