Solve 4(86/5-6y/5)+6y=86

$$4 ( \frac { 86 } { 5 } - \frac { 6 y } { 5 } ) + 6 y = 86$$

Solve for y

$$y = \frac{43}{3} = 14\frac{1}{3} \approx 14.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5.

$$20\left(\frac{86}{5}-\frac{6y}{5}\right)+30y=430$$

Since \frac{86}{5} and \frac{6y}{5} have the same denominator, add them by adding their numerators.

$$20\times \frac{86+6y}{5}+30y=430$$

Cancel out 5, the greatest common factor in 20 and 5.

$$4\left(86+6y\right)+30y=430$$

Use the distributive property to multiply 4 by 86+6y.

$$344+24y+30y=430$$

Combine 24y and 30y to get 54y.

$$344+54y=430$$

Subtract 344 from both sides.

$$54y=430-344$$

Subtract 344 from 430 to get 86.

$$54y=86$$

Divide both sides by 54.

$$y=\frac{86}{54}$$

Reduce the fraction \frac{86}{54} to lowest terms by extracting and canceling out 2.

$$y=\frac{43}{27}$$