Solve 4(3y+4.1)=7.6

$$4 ( 3 y + 4.1 ) = 7.6$$

Solve for y

$$y=-\frac{11}{15}\approx -0.733333333$$

Steps for Solving Linear Equation

Divide both sides by 4.

$$3y+4.1=\frac{7.6}{4}$$

Expand \frac{7.6}{4} by multiplying both numerator and the denominator by 10.

$$3y+4.1=\frac{76}{40}$$

Reduce the fraction \frac{76}{40} to lowest terms by extracting and canceling out 4.

$$3y+4.1=\frac{19}{10}$$

Subtract 4.1 from both sides.

$$3y=\frac{19}{10}-4.1$$

Convert decimal number 4.1 to fraction \frac{41}{10}.

$$3y=\frac{19}{10}-\frac{41}{10}$$

Since \frac{19}{10} and \frac{41}{10} have the same denominator, subtract them by subtracting their numerators.

$$3y=\frac{19-41}{10}$$

Subtract 41 from 19 to get -22.

$$3y=\frac{-22}{10}$$

Reduce the fraction \frac{-22}{10} to lowest terms by extracting and canceling out 2.

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

Divide both sides by 3.

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

Express \frac{-\frac{11}{5}}{3} as a single fraction.

$$y=\frac{-11}{5\times 3}$$

Multiply 5 and 3 to get 15.

$$y=\frac{-11}{15}$$

Fraction \frac{-11}{15} can be rewritten as -\frac{11}{15} by extracting the negative sign.

$$y=-\frac{11}{15}$$