Be conscious of the orientation of the new capacitor. Electrolytic capacitors like this one are polarized and will only work in one direction.

Notice that I am using a capacitor with the same capacitance, but a higher voltage rating. This only increases the voltage the capacitor can handle before failing, it does not raise the voltage of the circuit. It is important not to use a lower value, however. Be sure to use the correct capacitance (1000uF).

The grey line indicates which side is negative. The negative side also typically has a shorter lead. On the board, the "shaded" half of the circle with the hashmarks is the negative side.

Insert the new capacitor and bend the legs outward to help hold it in place when you turn the board over.

Solder the leads and clip the excess length.