Is it good to brush teeth with toothpaste then brush again without?

Not really: It's the toothebrush that cleans your teeth. Toothpaste makes your mouth taste good and gives you the benefits of fluoride, whitening agents, etc. Use a pea-sized dollop of toothpaste. Any more than that and you are brushing toothpaste, not brushing teeth.

Not necessary: You can certainly brush twice, but not neded after effective first brushing with paste. Better to take that time and cafefully clean the first time.

No: The more time you spend brushing the cleaner your teeth will be. Avoid brushing right after a meal when your mouth is very acidic. When you finish brushing, do not rinse with mouthwash or anything else! spit out and leave the small amount of toothpaste on your teeth so it can soak in over one half hour in order to derive the maximum benefit from its ingredients such as fluoride.

Flods: Toothpaste is actually the minor component of brushing it is the mechanical brushing that cleans. I would suggest flossing instead of brushing again. If you floss,CONGRATULATIONS! A thorough and gentle brushing regimen of 2 minutes should suffice