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4x=2+7y
Add 7y to both sides.
4x=7y+2
The equation is in standard form.
\frac{4x}{4}=\frac{7y+2}{4}
Divide both sides by 4.
x=\frac{7y+2}{4}
Dividing by 4 undoes the multiplication by 4.
x=\frac{7y}{4}+\frac{1}{2}
Divide 2+7y by 4.
-7y=2-4x
Subtract 4x from both sides.
\frac{-7y}{-7}=\frac{2-4x}{-7}
Divide both sides by -7.
y=\frac{2-4x}{-7}
Dividing by -7 undoes the multiplication by -7.
y=\frac{4x-2}{7}
Divide 2-4x by -7.