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2y=2-3z
Subtract 3z from both sides.
\frac{2y}{2}=\frac{2-3z}{2}
Divide both sides by 2.
y=\frac{2-3z}{2}
Dividing by 2 undoes the multiplication by 2.
y=-\frac{3z}{2}+1
Divide 2-3z by 2.
3z=2-2y
Subtract 2y from both sides.
\frac{3z}{3}=\frac{2-2y}{3}
Divide both sides by 3.
z=\frac{2-2y}{3}
Dividing by 3 undoes the multiplication by 3.