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

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

Solve for y

$$y = -\frac{34}{21} = -1\frac{13}{21} \approx -1.619047619$$

Steps for Solving Linear Equation

Add \frac{7}{3} to both sides.

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

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{7}{3} to fractions with denominator 6.

$$-\frac{7}{4}y=\frac{3}{6}+\frac{14}{6}$$

Since \frac{3}{6} and \frac{14}{6} have the same denominator, add them by adding their numerators.

$$-\frac{7}{4}y=\frac{3+14}{6}$$

Add 3 and 14 to get 17.

$$-\frac{7}{4}y=\frac{17}{6}$$

Multiply both sides by -\frac{4}{7}, the reciprocal of -\frac{7}{4}.

$$y=\frac{17}{6}\left(-\frac{4}{7}\right)$$

Multiply \frac{17}{6} times -\frac{4}{7} by multiplying numerator times numerator and denominator times denominator.

$$y=\frac{17\left(-4\right)}{6\times 7}$$

Do the multiplications in the fraction \frac{17\left(-4\right)}{6\times 7}.

$$y=\frac{-68}{42}$$

Reduce the fraction \frac{-68}{42} to lowest terms by extracting and canceling out 2.

$$y=-\frac{34}{21}$$