Find the center of mass and the moment of inertia about the y-axis for a thin plate bounded by the x-axis, the lines x = ± 1, and the parabola y =x if 8(x,y) = 7y + 2. The coordinates of the plate's center of mass are x = and y =. (Simplify your answers. Type integers or simplified fractions.) (Simplify your answer. Type an integer or a simplified fraction.)

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