Solve -1/2=4/3y-9/5

$$- \frac { 1 } { 2 } = \frac { 4 } { 3 } y - \frac { 9 } { 5 }$$

Solve for y

$$y=\frac{39}{40}=0.975$$

Steps for Solving Linear Equation

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

$$\frac{4}{3}y-\frac{9}{5}=-\frac{1}{2}$$

Add \frac{9}{5} to both sides.

$$\frac{4}{3}y=-\frac{1}{2}+\frac{9}{5}$$

Least common multiple of 2 and 5 is 10. Convert -\frac{1}{2} and \frac{9}{5} to fractions with denominator 10.

$$\frac{4}{3}y=-\frac{5}{10}+\frac{18}{10}$$

Since -\frac{5}{10} and \frac{18}{10} have the same denominator, add them by adding their numerators.

$$\frac{4}{3}y=\frac{-5+18}{10}$$

Add -5 and 18 to get 13.

$$\frac{4}{3}y=\frac{13}{10}$$

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

$$y=\frac{13}{10}\times \frac{3}{4}$$

Multiply \frac{13}{10} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$y=\frac{13\times 3}{10\times 4}$$

Do the multiplications in the fraction \frac{13\times 3}{10\times 4}.

$$y=\frac{39}{40}$$