Solve -2/3=-3/5y-1/2

$$- \frac { 2 } { 3 } = - \frac { 3 } { 5 } y - \frac { 1 } { 2 }$$

Solve for y

$$y=\frac{5}{18}\approx 0.277777778$$

Steps for Solving Linear Equation

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

$$-\frac{3}{5}y-\frac{1}{2}=-\frac{2}{3}$$

Add \frac{1}{2} to both sides.

$$-\frac{3}{5}y=-\frac{2}{3}+\frac{1}{2}$$

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

$$-\frac{3}{5}y=-\frac{4}{6}+\frac{3}{6}$$

Since -\frac{4}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

$$-\frac{3}{5}y=\frac{-4+3}{6}$$

Add -4 and 3 to get -1.

$$-\frac{3}{5}y=-\frac{1}{6}$$

Multiply both sides by -\frac{5}{3}, the reciprocal of -\frac{3}{5}.

$$y=-\frac{1}{6}\left(-\frac{5}{3}\right)$$

Multiply -\frac{1}{6} times -\frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$y=\frac{-\left(-5\right)}{6\times 3}$$

Do the multiplications in the fraction \frac{-\left(-5\right)}{6\times 3}.

$$y=\frac{5}{18}$$