Solve 31/2-21/3y=31/4

$$3 \frac{ 1 }{ 2 } -2 \frac{ 1 }{ 3 } y = 3 \frac{ 1 }{ 4 }$$

Solve for y

$$y=\frac{3}{28}\approx 0.107142857$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 2,3,4.

$$6\left(3\times 2+1\right)-4\left(2\times 3+1\right)y=3\left(3\times 4+1\right)$$

Multiply 3 and 2 to get 6.

$$6\left(6+1\right)-4\left(2\times 3+1\right)y=3\left(3\times 4+1\right)$$

Add 6 and 1 to get 7.

$$6\times 7-4\left(2\times 3+1\right)y=3\left(3\times 4+1\right)$$

Multiply 6 and 7 to get 42.

$$42-4\left(2\times 3+1\right)y=3\left(3\times 4+1\right)$$

Multiply 2 and 3 to get 6.

$$42-4\left(6+1\right)y=3\left(3\times 4+1\right)$$

Add 6 and 1 to get 7.

$$42-4\times 7y=3\left(3\times 4+1\right)$$

Multiply 4 and 7 to get 28.

$$42-28y=3\left(3\times 4+1\right)$$

Multiply 3 and 4 to get 12.

$$42-28y=3\left(12+1\right)$$

Add 12 and 1 to get 13.

$$42-28y=3\times 13$$

Multiply 3 and 13 to get 39.

$$42-28y=39$$

Subtract 42 from both sides.

$$-28y=39-42$$

Subtract 42 from 39 to get -3.

$$-28y=-3$$

Divide both sides by -28.

$$y=\frac{-3}{-28}$$

Fraction \frac{-3}{-28} can be simplified to \frac{3}{28} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{3}{28}$$