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B\times \frac{1}{2}-B=\frac{2}{3}
Subtract B from both sides.
-\frac{1}{2}B=\frac{2}{3}
Combine B\times \frac{1}{2} and -B to get -\frac{1}{2}B.
B=\frac{2}{3}\left(-2\right)
Multiply both sides by -2, the reciprocal of -\frac{1}{2}.
B=\frac{2\left(-2\right)}{3}
Express \frac{2}{3}\left(-2\right) as a single fraction.
B=\frac{-4}{3}
Multiply 2 and -2 to get -4.
B=-\frac{4}{3}
Fraction \frac{-4}{3} can be rewritten as -\frac{4}{3} by extracting the negative sign.