Question 58058
Rewrite: {{{3x+4y = 15+6y}}} so that y is a function of x.

This means that you must solve the equation for y, and, if required, replace the y with f(x).

{{{3x+4y = 15+6y}}} Subtract 4y from both sides of the equation.
{{{3x = 15+2y}}} Now subtract 15 from both sides.
{{{3x-15 = 2y}}} Finally, divide both sides by 2.
{{{(3/2)x - 15/2 = y}}} which you can rewtite as:
{{{y = (3/2)x - 15/2}}} or in function form as:
{{{f(x) = (3/2)x - 15/2}}}