Solve 33/2-21/3y=31/4

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

Solve for y

$$y=\frac{15}{28}\approx 0.535714286$$

Steps for Solving Linear Equation

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

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

Multiply 3 and 2 to get 6.

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

Add 6 and 3 to get 9.

$$6\times 9-4\left(2\times 3+1\right)y=3\left(3\times 4+1\right)$$

Multiply 6 and 9 to get 54.

$$54-4\left(2\times 3+1\right)y=3\left(3\times 4+1\right)$$

Multiply 2 and 3 to get 6.

$$54-4\left(6+1\right)y=3\left(3\times 4+1\right)$$

Add 6 and 1 to get 7.

$$54-4\times 7y=3\left(3\times 4+1\right)$$

Multiply 4 and 7 to get 28.

$$54-28y=3\left(3\times 4+1\right)$$

Multiply 3 and 4 to get 12.

$$54-28y=3\left(12+1\right)$$

Add 12 and 1 to get 13.

$$54-28y=3\times 13$$

Multiply 3 and 13 to get 39.

$$54-28y=39$$

Subtract 54 from both sides.

$$-28y=39-54$$

Subtract 54 from 39 to get -15.

$$-28y=-15$$

Divide both sides by -28.

$$y=\frac{-15}{-28}$$

Fraction \frac{-15}{-28} can be simplified to \frac{15}{28} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{15}{28}$$