Intersection of Linear Functions

Consider the linear function defined by the equation $$y = 3x - 12$$. This function models the relationship between the variable $$x$$ and the value of $$y$$. If another linear function is represented by the equation $$y = mx + b$$ and intersects the first function at the point (4, y), determine the value of $$m$$ if the second function has a slope that is twice the slope of the first function.

Find the value of $$y$$ at the intersection point before calculating the slope of the second function.