Solve 0.6(-15/4)-0.4y=1.1

$$0.6 ( - \frac { 15 } { 4 } ) - 0.4 y = 1.1$$

Solve for y

$$y=-8.375$$

Steps for Solving Linear Equation

Convert decimal number 0.6 to fraction \frac{6}{10}. Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{3}{5}\left(-\frac{15}{4}\right)-0.4y=1.1$$

Multiply \frac{3}{5} times -\frac{15}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\left(-15\right)}{5\times 4}-0.4y=1.1$$

Do the multiplications in the fraction \frac{3\left(-15\right)}{5\times 4}.

$$\frac{-45}{20}-0.4y=1.1$$

Reduce the fraction \frac{-45}{20} to lowest terms by extracting and canceling out 5.

$$-\frac{9}{4}-0.4y=1.1$$

Add \frac{9}{4} to both sides.

$$-0.4y=1.1+\frac{9}{4}$$

Convert decimal number 1.1 to fraction \frac{11}{10}.

$$-0.4y=\frac{11}{10}+\frac{9}{4}$$

Least common multiple of 10 and 4 is 20. Convert \frac{11}{10} and \frac{9}{4} to fractions with denominator 20.

$$-0.4y=\frac{22}{20}+\frac{45}{20}$$

Since \frac{22}{20} and \frac{45}{20} have the same denominator, add them by adding their numerators.

$$-0.4y=\frac{22+45}{20}$$

Add 22 and 45 to get 67.

$$-0.4y=\frac{67}{20}$$

Divide both sides by -0.4.

$$y=\frac{\frac{67}{20}}{-0.4}$$

Express \frac{\frac{67}{20}}{-0.4} as a single fraction.

$$y=\frac{67}{20\left(-0.4\right)}$$

Multiply 20 and -0.4 to get -8.

$$y=\frac{67}{-8}$$

Fraction \frac{67}{-8} can be rewritten as -\frac{67}{8} by extracting the negative sign.

$$y=-\frac{67}{8}$$