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6x=y-5y
Subtract 5y from both sides.
6x=-4y
Combine y and -5y to get -4y.
\frac{6x}{6}=-\frac{4y}{6}
Divide both sides by 6.
x=-\frac{4y}{6}
Dividing by 6 undoes the multiplication by 6.
x=-\frac{2y}{3}
Divide -4y by 6.
5y+6x-y=0
Subtract y from both sides.
4y+6x=0
Combine 5y and -y to get 4y.
4y=-6x
Subtract 6x from both sides. Anything subtracted from zero gives its negation.
\frac{4y}{4}=-\frac{6x}{4}
Divide both sides by 4.
y=-\frac{6x}{4}
Dividing by 4 undoes the multiplication by 4.
y=-\frac{3x}{2}
Divide -6x by 4.