Solve 5/frac{5{3}}+8/y=5

$$\frac { 5 } { \frac { 5 } { 3 } } + \frac { 8 } { y } = 5$$

Solve for y

$$y=4$$

Steps for Solving Linear Equation

Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by y.

$$y\times \frac{5}{\frac{5}{3}}+8=5y$$

Divide 5 by \frac{5}{3} by multiplying 5 by the reciprocal of \frac{5}{3}.

$$y\times 5\times \frac{3}{5}+8=5y$$

Cancel out 5 and 5.

$$y\times 3+8=5y$$

Subtract 5y from both sides.

$$y\times 3+8-5y=0$$

Combine y\times 3 and -5y to get -2y.

$$-2y+8=0$$

Subtract 8 from both sides. Anything subtracted from zero gives its negation.

$$-2y=-8$$

Divide both sides by -2.

$$y=\frac{-8}{-2}$$

Divide -8 by -2 to get 4.

$$y=4$$