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\frac{2}{3}b+\frac{5}{6}b=4
Add \frac{5}{6}b to both sides.
\frac{3}{2}b=4
Combine \frac{2}{3}b and \frac{5}{6}b to get \frac{3}{2}b.
b=4\times \frac{2}{3}
Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}.
b=\frac{4\times 2}{3}
Express 4\times \frac{2}{3} as a single fraction.
b=\frac{8}{3}
Multiply 4 and 2 to get 8.