The reasoning here is simple. Every color in the visible spectrum can be assigned a number based on a luminosity scale (a scale from light to dark) from 0 to 9 where white is 0 and black is 9. Now suppose that the brown you are trying to cover has a score of 8, and the yellow paint you want to apply has a 4.
Alkyd is an old interior paint made newly popular by a change in solvent - a super-refined petroleum chemical that has almost no odor. It is not a water paint. You thin it and clean brushes with mineral spirits or turpentine, or, if you want to retain the odorless feature, with the new odorless solvent. (Ask the paint-store man for just that, odorless solvent).
When you plan with split complementary colors, you begin with a single reference color. Next, choose a color from either edge of the complementary color and use it. While the complementary color scheme is a little more obvious, this scheme can fail totally if you just use paler versions of your warm colors. By the same token, picking a a warm undertone for the main contrasting color and combining it with two cool tones will showcase the warm tone.
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Sadly, not only are people more attracted to the paint color wheels because of these colors, but beginners are more likely to find one of these bright, saturated colors most attractive and end up choosing one as their new paint color. Unfortunately, for most of the reasons discussed above, those colors look ridiculous painted on walls.
There are many different kinds of textures, a smooth wall -which is really a "non-texture," will only need to be sanded and the outside edges sponged before painting over it. Hand texture which is easily reproduced by applying drywall compound with a drywall knife and troweling the compound on the patched area to simulate the existing wall texture. A rolled on texture is applied by rolling on some thinned down drywall compound or dry mix that water is added to -the thickness of the compound or dry mix will determine the heaviness of the texture. Some variations of roll on textures have a rough sand granule appearance and both dry mix types can be purchased at most local hardware stores, large hardware depots or at local paint stores, where you will also be able to find spray cans of orange peel or knock down texture. Always make sure to shake the can for a couple of minutes, then test out the spray pattern on a piece of cardboard or scrap sheet of drywall before trying to simulate it on the wall. Orange peel is just sprayed on and left to dry, you will need to experiment so you can adjust the spray nozzle to simulate the texture as close as possible to the size/pattern of the existing wall.
Start with a thorough cleaning with a good degreaser. This isn't typically something you're going to find at the local chain parts store. Find an automotive paint supplier near you and spring the extra cash for the good stuff. Remember, this is the foundation you're laying for the new paint and the better you do, the better it will look. After degreasing start scuffing with 240-360 grit wet sand paper. Dry sanding using grit this fine will clog the sand paper in short order and frustrate you to no end. Use a bucket and sponge or a spray bottle to keep the area wet while sanding.