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6x+y-x=-3y
Subtract x from both sides.
5x+y=-3y
Combine 6x and -x to get 5x.
5x=-3y-y
Subtract y from both sides.
5x=-4y
Combine -3y and -y to get -4y.
\frac{5x}{5}=-\frac{4y}{5}
Divide both sides by 5.
x=-\frac{4y}{5}
Dividing by 5 undoes the multiplication by 5.
6x+y+3y=x
Add 3y to both sides.
6x+4y=x
Combine y and 3y to get 4y.
4y=x-6x
Subtract 6x from both sides.
4y=-5x
Combine x and -6x to get -5x.
\frac{4y}{4}=-\frac{5x}{4}
Divide both sides by 4.
y=-\frac{5x}{4}
Dividing by 4 undoes the multiplication by 4.