Solve 6/y+13=5

$$\frac { 6 } { y } + 13 = 5$$

Solve for y

$$y=-\frac{3}{4}=-0.75$$

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.

$$6+y\times 13=5y$$

Subtract 5y from both sides.

$$6+y\times 13-5y=0$$

Combine y\times 13 and -5y to get 8y.

$$6+8y=0$$

Subtract 6 from both sides. Anything subtracted from zero gives its negation.

$$8y=-6$$

Divide both sides by 8.

$$y=\frac{-6}{8}$$

Reduce the fraction \frac{-6}{8} to lowest terms by extracting and canceling out 2.

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