Solve 3(-4/5)-2y=3

$$3(- \frac{ 4 }{ 5 } )-2y=3$$

Solve for y

$$y = -\frac{27}{10} = -2\frac{7}{10} = -2.7$$

Steps for Solving Linear Equation

Express 3\left(-\frac{4}{5}\right) as a single fraction.

$$\frac{3\left(-4\right)}{5}-2y=3$$

Multiply 3 and -4 to get -12.

$$\frac{-12}{5}-2y=3$$

Fraction \frac{-12}{5} can be rewritten as -\frac{12}{5} by extracting the negative sign.

$$-\frac{12}{5}-2y=3$$

Add \frac{12}{5} to both sides.

$$-2y=3+\frac{12}{5}$$

Convert 3 to fraction \frac{15}{5}.

$$-2y=\frac{15}{5}+\frac{12}{5}$$

Since \frac{15}{5} and \frac{12}{5} have the same denominator, add them by adding their numerators.

$$-2y=\frac{15+12}{5}$$

Add 15 and 12 to get 27.

$$-2y=\frac{27}{5}$$

Divide both sides by -2.

$$y=\frac{\frac{27}{5}}{-2}$$

Express \frac{\frac{27}{5}}{-2} as a single fraction.

$$y=\frac{27}{5\left(-2\right)}$$

Multiply 5 and -2 to get -10.

$$y=\frac{27}{-10}$$

Fraction \frac{27}{-10} can be rewritten as -\frac{27}{10} by extracting the negative sign.

$$y=-\frac{27}{10}$$