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-4x=7-6y
Subtract 6y from both sides.
\frac{-4x}{-4}=\frac{7-6y}{-4}
Divide both sides by -4.
x=\frac{7-6y}{-4}
Dividing by -4 undoes the multiplication by -4.
x=\frac{3y}{2}-\frac{7}{4}
Divide 7-6y by -4.
6y=7+4x
Add 4x to both sides.
6y=4x+7
The equation is in standard form.
\frac{6y}{6}=\frac{4x+7}{6}
Divide both sides by 6.
y=\frac{4x+7}{6}
Dividing by 6 undoes the multiplication by 6.
y=\frac{2x}{3}+\frac{7}{6}
Divide 7+4x by 6.