Intersection of Circle and Line

Consider the equation of a circle defined by the function:

$$ (x - 3)^2 + (y + 4)^2 = 16 $$

Which is the equation of a circle centered at the point (3, -4) with a radius of 4. A line passes through the center of the circle and has a slope of 2.

Determine the y-coordinates of the intersection points of the line and the circle.

Your final answer should be given as the decimal representations of the values found.