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Consider a triangle ABC with sides AB and AC having the equations L_1 = 0 and L_2 = 0 . Let the centroid, orthocentre and circumcentre of the Delta ABCare G, H and S respectively. L = 0 denotes the equation of side BC. If L_1 : 2x + y = 0 and L_2 : x – y + 2 = 0and H(2, 3) then find the y-intercept of L = 0.

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