Point $A$ has coordinates $(x,6)$. When Point $A$ is reflected over the $y$-axis it lands on Point $B$. What is the sum of the four coordinate values of points $A$ and $B$?
To reflect a point over the $y$-axis, I need to change the sign of its $x$-coordinate, but keep the $y$-coordinate the same. So Point $B$ has coordinates $(-x,6)$. The sum of the four coordinate values of points $A$ and $B$ is $x + 6 + (-x) + 6$. This simplifies to $12$. 