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6x-z=-5y
Subtract 5y from both sides. Anything subtracted from zero gives its negation.
6x=-5y+z
Add z to both sides.
6x=z-5y
The equation is in standard form.
\frac{6x}{6}=\frac{z-5y}{6}
Divide both sides by 6.
x=\frac{z-5y}{6}
Dividing by 6 undoes the multiplication by 6.
5y-z=-6x
Subtract 6x from both sides. Anything subtracted from zero gives its negation.
5y=-6x+z
Add z to both sides.
5y=z-6x
The equation is in standard form.
\frac{5y}{5}=\frac{z-6x}{5}
Divide both sides by 5.
y=\frac{z-6x}{5}
Dividing by 5 undoes the multiplication by 5.