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52x+5=3y
Add 3y to both sides. Anything plus zero gives itself.
52x=3y-5
Subtract 5 from both sides.
\frac{52x}{52}=\frac{3y-5}{52}
Divide both sides by 52.
x=\frac{3y-5}{52}
Dividing by 52 undoes the multiplication by 52.
-3y+5=-52x
Subtract 52x from both sides. Anything subtracted from zero gives its negation.
-3y=-52x-5
Subtract 5 from both sides.
\frac{-3y}{-3}=\frac{-52x-5}{-3}
Divide both sides by -3.
y=\frac{-52x-5}{-3}
Dividing by -3 undoes the multiplication by -3.
y=\frac{52x+5}{3}
Divide -52x-5 by -3.