Solve 4/y-5=6

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

Solve for y

$$y = \frac{17}{3} = 5\frac{2}{3} \approx 5.666666667$$

Steps for Solving Linear Equation

Variable y cannot be equal to 5 since division by zero is not defined. Multiply both sides of the equation by y-5.

$$4=6\left(y-5\right)$$

Use the distributive property to multiply 6 by y-5.

$$4=6y-30$$

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

$$6y-30=4$$

Add 30 to both sides.

$$6y=4+30$$

Add 4 and 30 to get 34.

$$6y=34$$

Divide both sides by 6.

$$y=\frac{34}{6}$$

Reduce the fraction \frac{34}{6} to lowest terms by extracting and canceling out 2.

$$y=\frac{17}{3}$$