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4x-y=10
Swap sides so that all variable terms are on the left hand side.
4x=10+y
Add y to both sides.
4x=y+10
The equation is in standard form.
\frac{4x}{4}=\frac{y+10}{4}
Divide both sides by 4.
x=\frac{y+10}{4}
Dividing by 4 undoes the multiplication by 4.
x=\frac{y}{4}+\frac{5}{2}
Divide 10+y by 4.
4x-y=10
Swap sides so that all variable terms are on the left hand side.
-y=10-4x
Subtract 4x from both sides.
\frac{-y}{-1}=\frac{10-4x}{-1}
Divide both sides by -1.
y=\frac{10-4x}{-1}
Dividing by -1 undoes the multiplication by -1.
y=4x-10
Divide 10-4x by -1.