Solve 11/5y+4=3/10

$$\frac { 11 } { 5 } y + 4 = \frac { 3 } { 10 }$$

Solve for y

$$y = -\frac{37}{22} = -1\frac{15}{22} \approx -1.681818182$$

Steps for Solving Linear Equation

Subtract 4 from both sides.

$$\frac{11}{5}y=\frac{3}{10}-4$$

Convert 4 to fraction \frac{40}{10}.

$$\frac{11}{5}y=\frac{3}{10}-\frac{40}{10}$$

Since \frac{3}{10} and \frac{40}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11}{5}y=\frac{3-40}{10}$$

Subtract 40 from 3 to get -37.

$$\frac{11}{5}y=-\frac{37}{10}$$

Multiply both sides by \frac{5}{11}, the reciprocal of \frac{11}{5}.

$$y=-\frac{37}{10}\times \frac{5}{11}$$

Multiply -\frac{37}{10} times \frac{5}{11} by multiplying numerator times numerator and denominator times denominator.

$$y=\frac{-37\times 5}{10\times 11}$$

Do the multiplications in the fraction \frac{-37\times 5}{10\times 11}.

$$y=\frac{-185}{110}$$

Reduce the fraction \frac{-185}{110} to lowest terms by extracting and canceling out 5.

$$y=-\frac{37}{22}$$