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6x-10=z-5y
Subtract 5y from both sides.
6x=z-5y+10
Add 10 to both sides.
6x=10+z-5y
The equation is in standard form.
\frac{6x}{6}=\frac{10+z-5y}{6}
Divide both sides by 6.
x=\frac{10+z-5y}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{z}{6}-\frac{5y}{6}+\frac{5}{3}
Divide z-5y+10 by 6.
5y-10=z-6x
Subtract 6x from both sides.
5y=z-6x+10
Add 10 to both sides.
5y=10+z-6x
The equation is in standard form.
\frac{5y}{5}=\frac{10+z-6x}{5}
Divide both sides by 5.
y=\frac{10+z-6x}{5}
Dividing by 5 undoes the multiplication by 5.
y=\frac{z}{5}-\frac{6x}{5}+2
Divide z-6x+10 by 5.