Solve 14(69/20-y)+10y=46.3

$$14( \frac{ 69 }{ 20 } -y)+10y=46.3$$

Solve for y

$$y=0.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 14 by \frac{69}{20}-y.

$$14\times \frac{69}{20}-14y+10y=46.3$$

Express 14\times \frac{69}{20} as a single fraction.

$$\frac{14\times 69}{20}-14y+10y=46.3$$

Multiply 14 and 69 to get 966.

$$\frac{966}{20}-14y+10y=46.3$$

Reduce the fraction \frac{966}{20} to lowest terms by extracting and canceling out 2.

$$\frac{483}{10}-14y+10y=46.3$$

Combine -14y and 10y to get -4y.

$$\frac{483}{10}-4y=46.3$$

Subtract \frac{483}{10} from both sides.

$$-4y=46.3-\frac{483}{10}$$

Convert decimal number 46.3 to fraction \frac{463}{10}.

$$-4y=\frac{463}{10}-\frac{483}{10}$$

Since \frac{463}{10} and \frac{483}{10} have the same denominator, subtract them by subtracting their numerators.

$$-4y=\frac{463-483}{10}$$

Subtract 483 from 463 to get -20.

$$-4y=\frac{-20}{10}$$

Divide -20 by 10 to get -2.

$$-4y=-2$$

Divide both sides by -4.

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

Reduce the fraction \frac{-2}{-4} to lowest terms by extracting and canceling out -2.

$$y=\frac{1}{2}$$