Solve 2/510=1/3y-3/416

$$\frac{ 2 }{ 5 } 10 = \frac{ 1 }{ 3 } y- \frac{ 3 }{ 4 } 16$$

Solve for y

$$y=48$$

Steps for Solving Linear Equation

Express \frac{2}{5}\times 10 as a single fraction.

$$\frac{2\times 10}{5}=\frac{1}{3}y-\frac{3}{4}\times 16$$

Multiply 2 and 10 to get 20.

$$\frac{20}{5}=\frac{1}{3}y-\frac{3}{4}\times 16$$

Divide 20 by 5 to get 4.

$$4=\frac{1}{3}y-\frac{3}{4}\times 16$$

Express \frac{3}{4}\times 16 as a single fraction.

$$4=\frac{1}{3}y-\frac{3\times 16}{4}$$

Multiply 3 and 16 to get 48.

$$4=\frac{1}{3}y-\frac{48}{4}$$

Divide 48 by 4 to get 12.

$$4=\frac{1}{3}y-12$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{1}{3}y-12=4$$

Add 12 to both sides.

$$\frac{1}{3}y=4+12$$

Add 4 and 12 to get 16.

$$\frac{1}{3}y=16$$

Multiply both sides by 3, the reciprocal of \frac{1}{3}.

$$y=16\times 3$$

Multiply 16 and 3 to get 48.

$$y=48$$