You said that you want to study for a psychologist.
How much does it cost to be educated in America?
Does education paid at all or it's free or at least state will cover some expenses?
Is there some government programs that give material\money support to students?
Tuition can vary widely depending on the university. My first year in school was at a private university in 2006 and tuition costs were around $32,000/year, not including a dorm or meals. Due to my high ACT scores (including a perfect score on the English test), the university offered me a scholarship of something like $16,000/year for 4 years as long as my grades were kept up.
On the federal level, there are loans and grants available from the US federal government. These are generally based on need, so your parents have to be below a certain income level to be eligible. Unfortunately, even if you are independent of your parents completely, your eligibility still depends on their income levels.
On the state level, here in Louisiana there is a scholarship assistance program called TOPS that high school students can be eligible for if they meet certain criteria (if they took certain courses in high school and maintained a decent GPA and ACT/SAT score). If you qualify for this, they will pay your tuition if you attend a public university within the state (this program was passed to keep our brightest students within the state). This doesn't include fees (which can easily be hundreds of dollars), book/material costs, or dorm costs, although if you maintain a really excellent GPA you can be eligible for an additional stipend of a few hundred dollars. If you choose to attend a private university within the state instead, you can be eligible for the average public university cost towards your private tuition. This was about $7,500/year. I was eligible for this on top of the school's scholarship.
And on top of that, in my local town there was a man who years ago owned almost all the land in the area. Obviously, he was filthy rich, and when he died he created a charitable foundation that offers $1,000/year in scholarships to local students of the town who have high GPAs and ACT/SAT scores. I was also eligible for this scholarship.
So after all those scholarships, only about $24,000 of the $32,000/year was covered. My parents agreed to pick up the rest of it as long as my grades were in order. We weren't eligible for any grants, but we were eligible for loans, which I didn't do. Since I lived with my parents at the time, that meant I had no costs at all.
After a year there, the school decided to downsize and eliminate Computer Science, the more important of my two majors (the other being Classical Studies). I transferred to a public university (Louisiana State), where the tuition was much less (around $7,500 a year--before fees). The state tuition covered all of my expenses and I actually got to pocket the rest of the money from the local foundation, but since I had to move away for this, I had to get an apartment. My parents agreed to pick up this cost as long as my grades were good. My grades were decent but nothing to brag about, but I dragged school out past 4 years and my scholarships ran out, I had to take out a loan for the next year, and when I still didn't finish in the fifth year, my parents wanted me to start paying my own rent and I decided to just stop school there. I hated university and despised the idea of working at a shitty job while taking out loans for an education that I didn't think was actually teaching me anything.