Answer :
[tex]4x-4y=5\ \ \ |Subtract\ 4c\ from\ each\ side\\\\
-4y=5-4x\ \ \ |Divide\ by\ -4\ each\ side\\\\
y=\frac{5-4x}{-4}=-\frac{5}{4}+x\\\\Solution\ is\ y=-\frac{5}{4}+x[/tex]
You first want to isolate that negative -4y by subtracting 4x from both sides. Then divide everything by -4. You should get an equation that is in slope intercept form (y=mx+b)