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