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y-6=2x-4
Add -10 and 6 to get -4.
2x-4=y-6
Swap sides so that all variable terms are on the left hand side.
2x=y-6+4
Add 4 to both sides.
2x=y-2
Add -6 and 4 to get -2.
\frac{2x}{2}=\frac{y-2}{2}
Divide both sides by 2.
x=\frac{y-2}{2}
Dividing by 2 undoes the multiplication by 2.
x=\frac{y}{2}-1
Divide y-2 by 2.
y-6=2x-4
Add -10 and 6 to get -4.
y=2x-4+6
Add 6 to both sides.
y=2x+2
Add -4 and 6 to get 2.