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5x=6z-3y
Subtract 3y from both sides.
\frac{5x}{5}=\frac{6z-3y}{5}
Divide both sides by 5.
x=\frac{6z-3y}{5}
Dividing by 5 undoes the multiplication by 5.
3y=6z-5x
Subtract 5x from both sides.
\frac{3y}{3}=\frac{6z-5x}{3}
Divide both sides by 3.
y=\frac{6z-5x}{3}
Dividing by 3 undoes the multiplication by 3.
y=-\frac{5x}{3}+2z
Divide 6z-5x by 3.