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

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

Solve for y

$$y = \frac{35}{24} = 1\frac{11}{24} \approx 1.458333333$$

Steps for Solving Linear Equation

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

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

Add \frac{5}{2} to both sides.

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

Least common multiple of 3 and 2 is 6. Convert -\frac{4}{3} and \frac{5}{2} to fractions with denominator 6.

$$\frac{4}{5}y=-\frac{8}{6}+\frac{15}{6}$$

Since -\frac{8}{6} and \frac{15}{6} have the same denominator, add them by adding their numerators.

$$\frac{4}{5}y=\frac{-8+15}{6}$$

Add -8 and 15 to get 7.

$$\frac{4}{5}y=\frac{7}{6}$$

Multiply both sides by \frac{5}{4}, the reciprocal of \frac{4}{5}.

$$y=\frac{7}{6}\times \frac{5}{4}$$

Multiply \frac{7}{6} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$y=\frac{7\times 5}{6\times 4}$$

Do the multiplications in the fraction \frac{7\times 5}{6\times 4}.

$$y=\frac{35}{24}$$