Solve y/4+3/10=y-3/4

$$\frac { y } { 4 } + \frac { 3 } { 10 } = y - \frac { 3 } { 4 }$$

Solve for y

$$y = \frac{7}{5} = 1\frac{2}{5} = 1.4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 4,10.

$$5y+6=20y-15$$

Subtract 20y from both sides.

$$5y+6-20y=-15$$

Combine 5y and -20y to get -15y.

$$-15y+6=-15$$

Subtract 6 from both sides.

$$-15y=-15-6$$

Subtract 6 from -15 to get -21.

$$-15y=-21$$

Divide both sides by -15.

$$y=\frac{-21}{-15}$$

Reduce the fraction \frac{-21}{-15} to lowest terms by extracting and canceling out -3.

$$y=\frac{7}{5}$$