Solve for a
a=\frac{y-4b}{12}
Solve for b
b=\frac{y-12a}{4}
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y=12a+4b
Use the distributive property to multiply 2 by 6a+2b.
12a+4b=y
Swap sides so that all variable terms are on the left hand side.
12a=y-4b
Subtract 4b from both sides.
\frac{12a}{12}=\frac{y-4b}{12}
Divide both sides by 12.
a=\frac{y-4b}{12}
Dividing by 12 undoes the multiplication by 12.
a=\frac{y}{12}-\frac{b}{3}
Divide y-4b by 12.
y=12a+4b
Use the distributive property to multiply 2 by 6a+2b.
12a+4b=y
Swap sides so that all variable terms are on the left hand side.
4b=y-12a
Subtract 12a from both sides.
\frac{4b}{4}=\frac{y-12a}{4}
Divide both sides by 4.
b=\frac{y-12a}{4}
Dividing by 4 undoes the multiplication by 4.
b=\frac{y}{4}-3a
Divide y-12a by 4.
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