In the given question we are faced with an equation that has two unknown variables. So finding the value of the two variables is not possible as finding the value of two variables needs two equations. Only thing possible is finding an equation for the variable y.
-6x + 2y = 16
2y = 16 + 6x
y = (6x + 16)/2
= 3x + 8
So the value of y that can be found from the given equation is y = 3x + 8. I hope this is enough to make you understand the procedure by which these type of problems can be easily solved.