Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. t, t<3 2, t>3 y' +6y=g(t), y(0) = -6, y'(0) = 0, where g(t) = Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Y(s) = (Type an exact answer in terms of e.)

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