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4x=\frac{29}{6}-3y
Subtract 3y from both sides.
\frac{4x}{4}=\frac{\frac{29}{6}-3y}{4}
Divide both sides by 4.
x=\frac{\frac{29}{6}-3y}{4}
Dividing by 4 undoes the multiplication by 4.
x=-\frac{3y}{4}+\frac{29}{24}
Divide \frac{29}{6}-3y by 4.
3y=\frac{29}{6}-4x
Subtract 4x from both sides.
\frac{3y}{3}=\frac{\frac{29}{6}-4x}{3}
Divide both sides by 3.
y=\frac{\frac{29}{6}-4x}{3}
Dividing by 3 undoes the multiplication by 3.
y=-\frac{4x}{3}+\frac{29}{18}
Divide \frac{29}{6}-4x by 3.