Solve -2(y+6)=y+3+2

$$- 2 ( y + 6 ) = y + 3 + 2$$

Solve for y

$$y = -\frac{17}{3} = -5\frac{2}{3} \approx -5.666666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by y+6.

$$-2y-12=y+3+2$$

Add 3 and 2 to get 5.

$$-2y-12=y+5$$

Subtract y from both sides.

$$-2y-12-y=5$$

Combine -2y and -y to get -3y.

$$-3y-12=5$$

Add 12 to both sides.

$$-3y=5+12$$

Add 5 and 12 to get 17.

$$-3y=17$$

Divide both sides by -3.

$$y=\frac{17}{-3}$$

Fraction \frac{17}{-3} can be rewritten as -\frac{17}{3} by extracting the negative sign.

$$y=-\frac{17}{3}$$