Move all terms to one side, leaving y on the right/left hand side. 
24x+25+7= -6y 
(24x+32)/-6=y 
-3x-16/3=y (not too sure about the mental math here xp) 
Knowing this, you know the y-intercept is (0, -16/3), the line is going downwards and you can easily find out another point. 
If x= 1, 
-3(1)-16/3=y 
-9/3-16/3=y 
-25/3=y 
Ensure that at x=1, your graph passes through -25/3.
Hope I helped :)