Solve y/5-y-3/8=2y

$$\frac { y } { 5 } - \frac { y - 3 } { 8 } = 2 y$$

Solve for y

$$y=\frac{15}{77}\approx 0.194805195$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 40, the least common multiple of 5,8.

$$8y-5\left(y-3\right)=80y$$

Use the distributive property to multiply -5 by y-3.

$$8y-5y+15=80y$$

Combine 8y and -5y to get 3y.

$$3y+15=80y$$

Subtract 80y from both sides.

$$3y+15-80y=0$$

Combine 3y and -80y to get -77y.

$$-77y+15=0$$

Subtract 15 from both sides. Anything subtracted from zero gives its negation.

$$-77y=-15$$

Divide both sides by -77.

$$y=\frac{-15}{-77}$$

Fraction \frac{-15}{-77} can be simplified to \frac{15}{77} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{15}{77}$$