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6x=-42+7y
Add 7y to both sides.
6x=7y-42
The equation is in standard form.
\frac{6x}{6}=\frac{7y-42}{6}
Divide both sides by 6.
x=\frac{7y-42}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{7y}{6}-7
Divide -42+7y by 6.
-7y=-42-6x
Subtract 6x from both sides.
-7y=-6x-42
The equation is in standard form.
\frac{-7y}{-7}=\frac{-6x-42}{-7}
Divide both sides by -7.
y=\frac{-6x-42}{-7}
Dividing by -7 undoes the multiplication by -7.
y=\frac{6x}{7}+6
Divide -42-6x by -7.