Solve -1/2=3/4b-1/2b+1/2b

$$- \frac { 1 } { 2 } = \frac { 3 } { 4 } b - \frac { 1 } { 2 } b + \frac { 1 } { 2 } b$$

Solve for b

$$b=-\frac{2}{3}\approx -0.666666667$$

Steps for Solving Linear Equation

Combine \frac{3}{4}b and -\frac{1}{2}b to get \frac{1}{4}b.

$$-\frac{1}{2}=\frac{1}{4}b+\frac{1}{2}b$$

Combine \frac{1}{4}b and \frac{1}{2}b to get \frac{3}{4}b.

$$-\frac{1}{2}=\frac{3}{4}b$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{3}{4}b=-\frac{1}{2}$$

Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.

$$b=-\frac{1}{2}\times \frac{4}{3}$$

Multiply -\frac{1}{2} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$b=\frac{-4}{2\times 3}$$

Do the multiplications in the fraction \frac{-4}{2\times 3}.

$$b=\frac{-4}{6}$$

Reduce the fraction \frac{-4}{6} to lowest terms by extracting and canceling out 2.

$$b=-\frac{2}{3}$$