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4x=34-10y
Subtract 10y from both sides.
\frac{4x}{4}=\frac{34-10y}{4}
Divide both sides by 4.
x=\frac{34-10y}{4}
Dividing by 4 undoes the multiplication by 4.
x=\frac{17-5y}{2}
Divide 34-10y by 4.
10y=34-4x
Subtract 4x from both sides.
\frac{10y}{10}=\frac{34-4x}{10}
Divide both sides by 10.
y=\frac{34-4x}{10}
Dividing by 10 undoes the multiplication by 10.
y=\frac{17-2x}{5}
Divide 34-4x by 10.