Solve 8(1/12-y)+15y=1

$$8( \frac{ 1 }{ 12 } -y)+15y=1$$

Solve for y

$$y=\frac{1}{21}\approx 0.047619048$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8 by \frac{1}{12}-y.

$$8\times \frac{1}{12}-8y+15y=1$$

Multiply 8 and \frac{1}{12} to get \frac{8}{12}.

$$\frac{8}{12}-8y+15y=1$$

Reduce the fraction \frac{8}{12} to lowest terms by extracting and canceling out 4.

$$\frac{2}{3}-8y+15y=1$$

Combine -8y and 15y to get 7y.

$$\frac{2}{3}+7y=1$$

Subtract \frac{2}{3} from both sides.

$$7y=1-\frac{2}{3}$$

Convert 1 to fraction \frac{3}{3}.

$$7y=\frac{3}{3}-\frac{2}{3}$$

Since \frac{3}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.

$$7y=\frac{3-2}{3}$$

Subtract 2 from 3 to get 1.

$$7y=\frac{1}{3}$$

Divide both sides by 7.

$$y=\frac{\frac{1}{3}}{7}$$

Express \frac{\frac{1}{3}}{7} as a single fraction.

$$y=\frac{1}{3\times 7}$$

Multiply 3 and 7 to get 21.

$$y=\frac{1}{21}$$