Solve 5(-7y-22/3)-2y=-2

$$5 ( - 7 y - \frac { 22 } { 3 } ) - 2 y = - 2$$

Solve for y

$$y=-\frac{104}{111}\approx -0.936936937$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by -7y-\frac{22}{3}.

$$-35y+5\left(-\frac{22}{3}\right)-2y=-2$$

Express 5\left(-\frac{22}{3}\right) as a single fraction.

$$-35y+\frac{5\left(-22\right)}{3}-2y=-2$$

Multiply 5 and -22 to get -110.

$$-35y+\frac{-110}{3}-2y=-2$$

Fraction \frac{-110}{3} can be rewritten as -\frac{110}{3} by extracting the negative sign.

$$-35y-\frac{110}{3}-2y=-2$$

Combine -35y and -2y to get -37y.

$$-37y-\frac{110}{3}=-2$$

Add \frac{110}{3} to both sides.

$$-37y=-2+\frac{110}{3}$$

Convert -2 to fraction -\frac{6}{3}.

$$-37y=-\frac{6}{3}+\frac{110}{3}$$

Since -\frac{6}{3} and \frac{110}{3} have the same denominator, add them by adding their numerators.

$$-37y=\frac{-6+110}{3}$$

Add -6 and 110 to get 104.

$$-37y=\frac{104}{3}$$

Divide both sides by -37.

$$y=\frac{\frac{104}{3}}{-37}$$

Express \frac{\frac{104}{3}}{-37} as a single fraction.

$$y=\frac{104}{3\left(-37\right)}$$

Multiply 3 and -37 to get -111.

$$y=\frac{104}{-111}$$

Fraction \frac{104}{-111} can be rewritten as -\frac{104}{111} by extracting the negative sign.

$$y=-\frac{104}{111}$$