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15y=46-14z
Subtract 14z from both sides.
\frac{15y}{15}=\frac{46-14z}{15}
Divide both sides by 15.
y=\frac{46-14z}{15}
Dividing by 15 undoes the multiplication by 15.
14z=46-15y
Subtract 15y from both sides.
\frac{14z}{14}=\frac{46-15y}{14}
Divide both sides by 14.
z=\frac{46-15y}{14}
Dividing by 14 undoes the multiplication by 14.
z=-\frac{15y}{14}+\frac{23}{7}
Divide 46-15y by 14.