With reference to the simple closed economy income-expenditure model,
suppose the aggregate consumption function is C = 100 +0.8(Y – T); taxes are
T = 10 + 0.25Y; investment, I, is 300 and government expenditures, G, are 200.
(a) Calculate equilibrium income, consumption and the government budget
surplus. [20 marks]
(b) Calculate the level of income that equates taxes to government
expenditures. [10 marks]
(c) Calculate the government expenditure multiplier.
[10 marks]

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C = 100 +0.8(Y – T); taxes are
T = 10 + 0.25Y; investment, I, is 300 and government expenditures, G, are 200.

I know that Y(equilibrium income) = 1/1-MPC (0.8) X (C0 +I +G -C1T)
So Y= 1/1-(0.8) X 100+300+200 - (0.8 x (10+ 0.25Y)

But I have no clue how to find Y :(.

Please help.

Thanks