How to fix the "error 2002 (HY000)" in MySQL?

Good afternoon, asked me to upgrade MySQL on CentOS 6 ISPmanager 4 PRO
I updated the following commands:
rpm-Uvh http://dev.mysql.com/get/mysql-community-release-el6-5.noarch.rpm
sed -i s'/enabled=1/enabled=0/' /etc/yum.repos.d/mysql-community.repo
yum-y --enablerepo=mysql56-community remi install php-mysqlnd
yum-y --enablerepo=mysql56-community remi install mysql-server

When you try to start MySQL, it just won't start.
service mysqld start
Starting mysqld: [FAILED]
Check the version of MySQL command: MySQL -v I get this error:
ERROR 2002 (HY000): Can't connect to local MySQL server through socket '/var/lib/mysql/mysql.sock' (2)

Check the MySQL version with the command: MySQL --version shows all is well:
mysql Ver 14.14 Distrib 5.6.40, for Linux (x86_64) using EditLine wrapper

How can I solve the problem? Thanks for the reply!
UPD
Created the file and gave him the law:
touch /var/lib/mysql/mysql.sock
chown-R mysql /var/lib/mysql/mysql.sock

Now shows a different error:
ERROR 2002 (HY000): Can't connect to local MySQL server through socket '/var/lib/mysql/mysql.sock' (111)
June 3rd 19 at 19:18
1 answer
June 3rd 19 at 19:20
Solution
sock file manually no need to create, it must create the MySQL after the start. You have the same it won't start. What gives the command service mysqld status? In the mysql logs?

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