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Solve for b
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6a=4b+6
Add 6 to both sides.
\frac{6a}{6}=\frac{4b+6}{6}
Divide both sides by 6.
a=\frac{4b+6}{6}
Dividing by 6 undoes the multiplication by 6.
a=\frac{2b}{3}+1
Divide 4b+6 by 6.
4b=6a-6
Swap sides so that all variable terms are on the left hand side.
\frac{4b}{4}=\frac{6a-6}{4}
Divide both sides by 4.
b=\frac{6a-6}{4}
Dividing by 4 undoes the multiplication by 4.
b=\frac{3a-3}{2}
Divide -6+6a by 4.