A number is selected from the set of integers: {−7, −5, −3, −1, 1, 3, 5, 7}. Let us denote this integer as $x$. If $x$ is multiplied by 4 and then decreased by 6, what is the result?
Mathematically, this operation can be expressed as:
$$ y = 4x - 6 $$
Determine the possible values of $y$ for every integer $x$ in the given set.