Solve 1/6(6/5-y)=2/15

$$\frac{ 1 }{ 6 } ( \frac{ 6 }{ 5 } -y)= \frac{ 2 }{ 15 }$$

Solve for y

$$y=\frac{2}{5}=0.4$$

Steps for Solving Linear Equation

Multiply both sides by 6, the reciprocal of \frac{1}{6}.

$$\frac{6}{5}-y=\frac{2}{15}\times 6$$

Express \frac{2}{15}\times 6 as a single fraction.

$$\frac{6}{5}-y=\frac{2\times 6}{15}$$

Multiply 2 and 6 to get 12.

$$\frac{6}{5}-y=\frac{12}{15}$$

Reduce the fraction \frac{12}{15} to lowest terms by extracting and canceling out 3.

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

Subtract \frac{6}{5} from both sides.

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

Since \frac{4}{5} and \frac{6}{5} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 6 from 4 to get -2.

$$-y=-\frac{2}{5}$$

Multiply both sides by -1.

$$y=\frac{2}{5}$$