How to calculate system response with input given?

Question

i am trying to understand how system responses and impulse responses work. Given that i have a system described by the following expression:

$y(n) = 3x(n+2) + 2x(n) - 4x(n-2)$

I want to calculate the system response when the signal x(n) is:

1. $x(n) = 2$, if $n = 0,1$
2. $x(n) = -3$, if $n = -2$
3. $x(n) = 0$, otherwise

Can anyone explain how to achieve it?

Thanks!