Solve 19%=10%+5%*0.8+3%y

$$19 \% = 10 \% + 5 \% \times 0.8 + 3 \% y$$

Solve for y

$$y = \frac{5}{3} = 1\frac{2}{3} \approx 1.666666667$$

Steps for Solving Linear Equation

Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.

$$\frac{19}{100}=\frac{1}{10}+\frac{5}{100}\times 0.8+\frac{3}{100}y$$

Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$\frac{19}{100}=\frac{1}{10}+\frac{1}{20}\times 0.8+\frac{3}{100}y$$

Convert decimal number 0.8 to fraction \frac{8}{10}. Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{19}{100}=\frac{1}{10}+\frac{1}{20}\times \frac{4}{5}+\frac{3}{100}y$$

Multiply \frac{1}{20} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{19}{100}=\frac{1}{10}+\frac{1\times 4}{20\times 5}+\frac{3}{100}y$$

Do the multiplications in the fraction \frac{1\times 4}{20\times 5}.

$$\frac{19}{100}=\frac{1}{10}+\frac{4}{100}+\frac{3}{100}y$$

Reduce the fraction \frac{4}{100} to lowest terms by extracting and canceling out 4.

$$\frac{19}{100}=\frac{1}{10}+\frac{1}{25}+\frac{3}{100}y$$

Least common multiple of 10 and 25 is 50. Convert \frac{1}{10} and \frac{1}{25} to fractions with denominator 50.

$$\frac{19}{100}=\frac{5}{50}+\frac{2}{50}+\frac{3}{100}y$$

Since \frac{5}{50} and \frac{2}{50} have the same denominator, add them by adding their numerators.

$$\frac{19}{100}=\frac{5+2}{50}+\frac{3}{100}y$$

Add 5 and 2 to get 7.

$$\frac{19}{100}=\frac{7}{50}+\frac{3}{100}y$$

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

$$\frac{7}{50}+\frac{3}{100}y=\frac{19}{100}$$

Subtract \frac{7}{50} from both sides.

$$\frac{3}{100}y=\frac{19}{100}-\frac{7}{50}$$

Least common multiple of 100 and 50 is 100. Convert \frac{19}{100} and \frac{7}{50} to fractions with denominator 100.

$$\frac{3}{100}y=\frac{19}{100}-\frac{14}{100}$$

Since \frac{19}{100} and \frac{14}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3}{100}y=\frac{19-14}{100}$$

Subtract 14 from 19 to get 5.

$$\frac{3}{100}y=\frac{5}{100}$$

Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$\frac{3}{100}y=\frac{1}{20}$$

Multiply both sides by \frac{100}{3}, the reciprocal of \frac{3}{100}.

$$y=\frac{1}{20}\times \frac{100}{3}$$

Multiply \frac{1}{20} times \frac{100}{3} by multiplying numerator times numerator and denominator times denominator.

$$y=\frac{1\times 100}{20\times 3}$$

Do the multiplications in the fraction \frac{1\times 100}{20\times 3}.

$$y=\frac{100}{60}$$

Reduce the fraction \frac{100}{60} to lowest terms by extracting and canceling out 20.

$$y=\frac{5}{3}$$