Finding real numbers in equations containing complex numbers

Ok, teacher gave us a quick exercise overnight, to help with tomorrow's work. Was 2 parts, I've done the first and I'm sure it's right, I just have no clue where to start the second.

A) Find the real numbers p and q where :

p+q+i(p-q) = 4+2i

So, we know i(p-q) has to be the +2i part, and p+q has to be 4 -

p - q = 2 and p + q = 4

p=4-q

4-2q=2

**q=1.**

P+1=4

**p=3**

The second one is -

2(p+iq)=q-ip-2(1-i)

Now, I've scribbled out a lot so far. I started by expanding all the brackets, leaving -

2p+2iq=q-ip-2-2i

Which has no like terms at all. So I tried re-arranging to get p on it's own -

2p=q-ip-2-2i-2iq

p=$\displaystyle \frac{q-ip-2-2i-2iq}{2}$

But that just makes me even more confused. Anyone know if I'm on the right path?