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