What's The Best Way To Factor This?

3x+2y=xy\large 3x + 2y = xy

Let (x1,y1),(x2,y2),,(xn,yn)(x_1,y_1), (x_2,y_2), \ldots, (x_n,y_n) be all the pairs of positive integer roots (x,y)(x,y) that satisfy the equation above.

Find (x1+x2++xn)+(y1+y2++yn) (x_1 + x_2 + \cdots +x_n) + (y_1 + y_2 + \cdots + y_n) .

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