Solve 32/5y+11/4=71/3

$$3 \frac { 2 } { 5 } y + 1 \frac { 1 } { 4 } = 7 \frac { 1 } { 3 }$$

Solve for y

$$y = \frac{365}{204} = 1\frac{161}{204} \approx 1.789215686$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 60, the least common multiple of 5,4,3.

$$12\left(3\times 5+2\right)y+15\left(1\times 4+1\right)=20\left(7\times 3+1\right)$$

Multiply 3 and 5 to get 15.

$$12\left(15+2\right)y+15\left(1\times 4+1\right)=20\left(7\times 3+1\right)$$

Add 15 and 2 to get 17.

$$12\times 17y+15\left(1\times 4+1\right)=20\left(7\times 3+1\right)$$

Multiply 12 and 17 to get 204.

$$204y+15\left(1\times 4+1\right)=20\left(7\times 3+1\right)$$

Multiply 1 and 4 to get 4.

$$204y+15\left(4+1\right)=20\left(7\times 3+1\right)$$

Add 4 and 1 to get 5.

$$204y+15\times 5=20\left(7\times 3+1\right)$$

Multiply 15 and 5 to get 75.

$$204y+75=20\left(7\times 3+1\right)$$

Multiply 7 and 3 to get 21.

$$204y+75=20\left(21+1\right)$$

Add 21 and 1 to get 22.

$$204y+75=20\times 22$$

Multiply 20 and 22 to get 440.

$$204y+75=440$$

Subtract 75 from both sides.

$$204y=440-75$$

Subtract 75 from 440 to get 365.

$$204y=365$$

Divide both sides by 204.

$$y=\frac{365}{204}$$