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