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-3y-4x=1
Multiply both sides of the equation by 7.
-4x=1+3y
Add 3y to both sides.
-4x=3y+1
The equation is in standard form.
\frac{-4x}{-4}=\frac{3y+1}{-4}
Divide both sides by -4.
x=\frac{3y+1}{-4}
Dividing by -4 undoes the multiplication by -4.
x=\frac{-3y-1}{4}
Divide 1+3y by -4.
-3y-4x=1
Multiply both sides of the equation by 7.
-3y=1+4x
Add 4x to both sides.
-3y=4x+1
The equation is in standard form.
\frac{-3y}{-3}=\frac{4x+1}{-3}
Divide both sides by -3.
y=\frac{4x+1}{-3}
Dividing by -3 undoes the multiplication by -3.
y=\frac{-4x-1}{3}
Divide 1+4x by -3.