Solve 7/8-1/2y=-3/4

$$\frac { 7 } { 8 } - \frac { 1 } { 2 } y = - \frac { 3 } { 4 }$$

Solve for y

$$y = \frac{13}{4} = 3\frac{1}{4} = 3.25$$

Steps for Solving Linear Equation

Subtract \frac{7}{8} from both sides.

$$-\frac{1}{2}y=-\frac{3}{4}-\frac{7}{8}$$

Least common multiple of 4 and 8 is 8. Convert -\frac{3}{4} and \frac{7}{8} to fractions with denominator 8.

$$-\frac{1}{2}y=-\frac{6}{8}-\frac{7}{8}$$

Since -\frac{6}{8} and \frac{7}{8} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{1}{2}y=\frac{-6-7}{8}$$

Subtract 7 from -6 to get -13.

$$-\frac{1}{2}y=-\frac{13}{8}$$

Multiply both sides by -2, the reciprocal of -\frac{1}{2}.

$$y=-\frac{13}{8}\left(-2\right)$$

Express -\frac{13}{8}\left(-2\right) as a single fraction.

$$y=\frac{-13\left(-2\right)}{8}$$

Multiply -13 and -2 to get 26.

$$y=\frac{26}{8}$$

Reduce the fraction \frac{26}{8} to lowest terms by extracting and canceling out 2.

$$y=\frac{13}{4}$$