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3x+4y=y-5-9
Subtract 9 from both sides.
3x+4y=y-14
Subtract 9 from -5 to get -14.
3x=y-14-4y
Subtract 4y from both sides.
3x=-3y-14
Combine y and -4y to get -3y.
\frac{3x}{3}=\frac{-3y-14}{3}
Divide both sides by 3.
x=\frac{-3y-14}{3}
Dividing by 3 undoes the multiplication by 3.
x=-y-\frac{14}{3}
Divide -3y-14 by 3.
3x+9+4y-y=-5
Subtract y from both sides.
3x+9+3y=-5
Combine 4y and -y to get 3y.
9+3y=-5-3x
Subtract 3x from both sides.
3y=-5-3x-9
Subtract 9 from both sides.
3y=-14-3x
Subtract 9 from -5 to get -14.
3y=-3x-14
The equation is in standard form.
\frac{3y}{3}=\frac{-3x-14}{3}
Divide both sides by 3.
y=\frac{-3x-14}{3}
Dividing by 3 undoes the multiplication by 3.
y=-x-\frac{14}{3}
Divide -14-3x by 3.