I'll explain. Inkjets use print heads printing directly to paper, and these can get clogged, damaged, etc, sometimes it's easy to replace this part or to do some maintenance. Laser printers use a series or rollers pressed one to the other, the image is created on one of those and then transferred to another one exposing it to the toner, and finally this, or another roller is pressed against the paper. These printers have a lot of benefits, but sometimes the rollers get damaged due to particles or get scratches causing prints to come out wrong, the usual part to fail is the drum, the commonly larger roller, and these are not made of rubber, making them expensive to replace. On some models you can buy the part, on others it's a full kit, and most times it's not cheap, that's what I meant regarding sometimes being cheaper to get another printer. But sure laser printers can last.
As for your Brother printer, if you are patient and have the time, you can try to unclog the nozzles. Check this video:
Ink should flow freely and be absolutely liquid, NO AIR should be on the system; sometimes things fail due to solidification of pigments. You can try pushing some water (pure, no minerals) gently on the system (on each color). Also, the cartridges should have balanced pressure, refilling sometimes ends up on positive pressure (ink comes out pushing), other times it's negative pressure, meaning the cartridge sucks the ink from the printer system. Remember, when pushing ink: be gentle, or the nozzles get damaged.
Most times, it helps placing some cloth on the "I don't know the name of that part", you know where the paper moves below the print head... and use warm water on such cloth, then gently moving the printhead on top, so the warm water gets some contact with the print head. The problem is... Brother printers are built in a way this becomes difficult to do, while HP, Epson and Canon usually are easier due to how they are built.
I know it sucks, but if you decide to try you might end up learning the technique and recover your printer, unless it's permanently damaged.