Since I(r) is not constant, how could Y be constant on the left side of the equation of the goods market equilibrium - IS curve function?
Thank you!
Ps: I don't know where I should write function, or equation, so sorry about that.
In the Mundel Fleming model it is not constant. You must be working with some simplified version of Mundel Fleming model.
If Y is held fixed that means something else has to change when I changes. In your example, only other thing that is not fixed is the consumption function $C(.)$ so when I increases something must happen there. Maybe marginal propensity to consume decreases or autonomous consumption shrinks. The source of the model should explain its assumptions.