Solve for a
a=\frac{y-12b}{18}
Solve for b
b=\frac{y-18a}{12}
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y=18a+12b
Use the distributive property to multiply 6 by 3a+2b.
18a+12b=y
Swap sides so that all variable terms are on the left hand side.
18a=y-12b
Subtract 12b from both sides.
\frac{18a}{18}=\frac{y-12b}{18}
Divide both sides by 18.
a=\frac{y-12b}{18}
Dividing by 18 undoes the multiplication by 18.
a=\frac{y}{18}-\frac{2b}{3}
Divide y-12b by 18.
y=18a+12b
Use the distributive property to multiply 6 by 3a+2b.
18a+12b=y
Swap sides so that all variable terms are on the left hand side.
12b=y-18a
Subtract 18a from both sides.
\frac{12b}{12}=\frac{y-18a}{12}
Divide both sides by 12.
b=\frac{y-18a}{12}
Dividing by 12 undoes the multiplication by 12.
b=\frac{y}{12}-\frac{3a}{2}
Divide y-18a by 12.
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