I don't really know which one you're trying to ask, so I'll answer both for you.
Graphing and solving for x,y.
Solving for x,y
To solve for x, you layout an equation ... Step 1
4(6-x)-2(6-y)=-4x
Add 4x to both sides ... Step 2
−4x+2y+12+4x=−4x+4x
2y+12=0
Add -2y to both sides ... Step 3
2y+12+−2y=0+−2y
12=−2y
Add -12 to both sides ... Step 4
12+−12=−2y+−12
0=−2y−12
Divide both sides by 0 ... Step 5
0/0=-2y-12/0
The answer is ... Step 6
x=2y-12/0
Solving for y.
To solve for y, start off with an equation ... Step 1
4(6−x)−2(6−y)=−4x
Step 1: Add 4x to both sides ... Step 2
−4x+2y+12+4x=−4x+4x
2y+12=0
Step 2: Add -12 to both sides ... Step 3
2y+12+−12=0+−12
2y=−12
Step 3: Divide both sides by 2 ... Step 4
2y/2=-12/2
y=-6
Graphing.
The graph would look like this >
