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4x-16=2y
Swap sides so that all variable terms are on the left hand side.
4x=2y+16
Add 16 to both sides.
\frac{4x}{4}=\frac{2y+16}{4}
Divide both sides by 4.
x=\frac{2y+16}{4}
Dividing by 4 undoes the multiplication by 4.
x=\frac{y}{2}+4
Divide 16+2y by 4.
2y=4x-16
The equation is in standard form.
\frac{2y}{2}=\frac{4x-16}{2}
Divide both sides by 2.
y=\frac{4x-16}{2}
Dividing by 2 undoes the multiplication by 2.
y=2x-8
Divide -16+4x by 2.