Solve 6-5y/-2/5=-9

$$\frac { 6 - 5 y } { - 2 / 5 } = - 9$$

Solve for y

$$y=\frac{12}{25}=0.48$$

Steps for Solving Linear Equation

Multiply both sides by -\frac{2}{5}.

$$6-5y=-9\left(-\frac{2}{5}\right)$$

Express -9\left(-\frac{2}{5}\right) as a single fraction.

$$6-5y=\frac{-9\left(-2\right)}{5}$$

Multiply -9 and -2 to get 18.

$$6-5y=\frac{18}{5}$$

Subtract 6 from both sides.

$$-5y=\frac{18}{5}-6$$

Convert 6 to fraction \frac{30}{5}.

$$-5y=\frac{18}{5}-\frac{30}{5}$$

Since \frac{18}{5} and \frac{30}{5} have the same denominator, subtract them by subtracting their numerators.

$$-5y=\frac{18-30}{5}$$

Subtract 30 from 18 to get -12.

$$-5y=-\frac{12}{5}$$

Divide both sides by -5.

$$y=\frac{-\frac{12}{5}}{-5}$$

Express \frac{-\frac{12}{5}}{-5} as a single fraction.

$$y=\frac{-12}{5\left(-5\right)}$$

Multiply 5 and -5 to get -25.

$$y=\frac{-12}{-25}$$

Fraction \frac{-12}{-25} can be simplified to \frac{12}{25} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{12}{25}$$