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The valence electrons are the electrons in the partially filled outermost shell (or shells).

Simplified; Oxygen has the shells filled in the following way.

1s22s22p4

The 2s and 2p subshells make up the outer most shell for oxygen. In the 2p subshell, It is stable with 6 electrons but with oxygen only has 4. The subshell has 3 different orbitals which can contain 2 electrons in each. This means that 1 of the orbitals is completely full while the other two only have one electron. From this we can say that there are 2 bonding valence shell electrons. Because there is a possibility of having a total of 8 electrons in the 2nd shell, this means that there must be 4 electrons which are non bonding in oxygen's valence shell.

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