Solve -3/2-4/3y=-2/5

$$- \frac { 3 } { 2 } - \frac { 4 } { 3 } y = - \frac { 2 } { 5 }$$

Solve for y

$$y=-\frac{33}{40}=-0.825$$

Steps for Solving Linear Equation

Add \frac{3}{2} to both sides.

$$-\frac{4}{3}y=-\frac{2}{5}+\frac{3}{2}$$

Least common multiple of 5 and 2 is 10. Convert -\frac{2}{5} and \frac{3}{2} to fractions with denominator 10.

$$-\frac{4}{3}y=-\frac{4}{10}+\frac{15}{10}$$

Since -\frac{4}{10} and \frac{15}{10} have the same denominator, add them by adding their numerators.

$$-\frac{4}{3}y=\frac{-4+15}{10}$$

Add -4 and 15 to get 11.

$$-\frac{4}{3}y=\frac{11}{10}$$

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

$$y=\frac{11}{10}\left(-\frac{3}{4}\right)$$

Multiply \frac{11}{10} times -\frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$y=\frac{11\left(-3\right)}{10\times 4}$$

Do the multiplications in the fraction \frac{11\left(-3\right)}{10\times 4}.

$$y=\frac{-33}{40}$$

Fraction \frac{-33}{40} can be rewritten as -\frac{33}{40} by extracting the negative sign.

$$y=-\frac{33}{40}$$