Solve 1/5y-y=-1/10

$$\frac { 1 } { 5 } y - y = - \frac { 1 } { 10 }$$

Solve for y

$$y=\frac{1}{8}=0.125$$

Steps for Solving Linear Equation

Combine \frac{1}{5}y and -y to get -\frac{4}{5}y.

$$-\frac{4}{5}y=-\frac{1}{10}$$

Multiply both sides by -\frac{5}{4}, the reciprocal of -\frac{4}{5}.

$$y=-\frac{1}{10}\left(-\frac{5}{4}\right)$$

Multiply -\frac{1}{10} times -\frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$y=\frac{-\left(-5\right)}{10\times 4}$$

Do the multiplications in the fraction \frac{-\left(-5\right)}{10\times 4}.

$$y=\frac{5}{40}$$

Reduce the fraction \frac{5}{40} to lowest terms by extracting and canceling out 5.

$$y=\frac{1}{8}$$