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3x=15-5y
The equation is in standard form.
\frac{3x}{3}=\frac{15-5y}{3}
Divide both sides by 3.
x=\frac{15-5y}{3}
Dividing by 3 undoes the multiplication by 3.
x=-\frac{5y}{3}+5
Divide 15-5y by 3.
15-5y=3x
Swap sides so that all variable terms are on the left hand side.
-5y=3x-15
Subtract 15 from both sides.
\frac{-5y}{-5}=\frac{3x-15}{-5}
Divide both sides by -5.
y=\frac{3x-15}{-5}
Dividing by -5 undoes the multiplication by -5.
y=-\frac{3x}{5}+3
Divide -15+3x by -5.