Solve 5(-11-8y/3)-y=-39

$$5 ( \frac { - 11 - 8 y } { 3 } ) - y = - 39$$

Solve for y

$$y = \frac{62}{43} = 1\frac{19}{43} \approx 1.441860465$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$5\left(-11-8y\right)-3y=-117$$

Use the distributive property to multiply 5 by -11-8y.

$$-55-40y-3y=-117$$

Combine -40y and -3y to get -43y.

$$-55-43y=-117$$

Add 55 to both sides.

$$-43y=-117+55$$

Add -117 and 55 to get -62.

$$-43y=-62$$

Divide both sides by -43.

$$y=\frac{-62}{-43}$$

Fraction \frac{-62}{-43} can be simplified to \frac{62}{43} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{62}{43}$$