Solve 8(y-1/24)=0.2

$$8 ( y - \frac { 1 } { 24 } ) = 0.2$$

Solve for y

$$y=\frac{1}{15}\approx 0.066666667$$

Steps for Solving Linear Equation

Divide both sides by 8.

$$y-\frac{1}{24}=\frac{0.2}{8}$$

Expand \frac{0.2}{8} by multiplying both numerator and the denominator by 10.

$$y-\frac{1}{24}=\frac{2}{80}$$

Reduce the fraction \frac{2}{80} to lowest terms by extracting and canceling out 2.

$$y-\frac{1}{24}=\frac{1}{40}$$

Add \frac{1}{24} to both sides.

$$y=\frac{1}{40}+\frac{1}{24}$$

Least common multiple of 40 and 24 is 120. Convert \frac{1}{40} and \frac{1}{24} to fractions with denominator 120.

$$y=\frac{3}{120}+\frac{5}{120}$$

Since \frac{3}{120} and \frac{5}{120} have the same denominator, add them by adding their numerators.

$$y=\frac{3+5}{120}$$

Add 3 and 5 to get 8.

$$y=\frac{8}{120}$$

Reduce the fraction \frac{8}{120} to lowest terms by extracting and canceling out 8.

$$y=\frac{1}{15}$$