Solve -4/y-5=-5

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

Solve for y

$$y = \frac{29}{5} = 5\frac{4}{5} = 5.8$$

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.

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

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

$$-4=-5y+25$$

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

$$-5y+25=-4$$

Subtract 25 from both sides.

$$-5y=-4-25$$

Subtract 25 from -4 to get -29.

$$-5y=-29$$

Divide both sides by -5.

$$y=\frac{-29}{-5}$$

Fraction \frac{-29}{-5} can be simplified to \frac{29}{5} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{29}{5}$$