Due to the recession that lowered income, the market price of good X got lower. For good X, we assume that Qd(P) = 1000 − P + Y /20 , and Qs(P) = 2P − Y/ 20 , where Y is the income, and P is the price of good X. (a) Derive the equilibrium price P ∗ in terms of Y . Show all math steps.