Solve y/5+1/5=y/2-1/5

$$\frac { y } { 5 } + \frac { 1 } { 5 } = \frac { y } { 2 } - \frac { 1 } { 5 }$$

Solve for y

$$y = \frac{4}{3} = 1\frac{1}{3} \approx 1.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 5,2.

$$2y+2=5y-2$$

Subtract 5y from both sides.

$$2y+2-5y=-2$$

Combine 2y and -5y to get -3y.

$$-3y+2=-2$$

Subtract 2 from both sides.

$$-3y=-2-2$$

Subtract 2 from -2 to get -4.

$$-3y=-4$$

Divide both sides by -3.

$$y=\frac{-4}{-3}$$

Fraction \frac{-4}{-3} can be simplified to \frac{4}{3} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{4}{3}$$