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4x=16+6y
Add 6y to both sides.
4x=6y+16
The equation is in standard form.
\frac{4x}{4}=\frac{6y+16}{4}
Divide both sides by 4.
x=\frac{6y+16}{4}
Dividing by 4 undoes the multiplication by 4.
x=\frac{3y}{2}+4
Divide 16+6y by 4.
-6y=16-4x
Subtract 4x from both sides.
\frac{-6y}{-6}=\frac{16-4x}{-6}
Divide both sides by -6.
y=\frac{16-4x}{-6}
Dividing by -6 undoes the multiplication by -6.
y=\frac{2x-8}{3}
Divide 16-4x by -6.