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4x=32y-8
Subtract 8 from both sides.
\frac{4x}{4}=\frac{32y-8}{4}
Divide both sides by 4.
x=\frac{32y-8}{4}
Dividing by 4 undoes the multiplication by 4.
x=8y-2
Divide 32y-8 by 4.
32y=4x+8
Swap sides so that all variable terms are on the left hand side.
\frac{32y}{32}=\frac{4x+8}{32}
Divide both sides by 32.
y=\frac{4x+8}{32}
Dividing by 32 undoes the multiplication by 32.
y=\frac{x}{8}+\frac{1}{4}
Divide 8+4x by 32.