Solve -6y-4(4y+6)=-8-4(-6-y)

$$- 6 y - 4 ( 4 y + 6 ) = - 8 - 4 ( - 6 - y )$$

Solve for y

$$y = -\frac{20}{13} = -1\frac{7}{13} \approx -1.538461538$$

Steps for Solving Linear Equation

Use the distributive property to multiply -4 by 4y+6.

$$-6y-16y-24=-8-4\left(-6-y\right)$$

Combine -6y and -16y to get -22y.

$$-22y-24=-8-4\left(-6-y\right)$$

Use the distributive property to multiply -4 by -6-y.

$$-22y-24=-8+24+4y$$

Add -8 and 24 to get 16.

$$-22y-24=16+4y$$

Subtract 4y from both sides.

$$-22y-24-4y=16$$

Combine -22y and -4y to get -26y.

$$-26y-24=16$$

Add 24 to both sides.

$$-26y=16+24$$

Add 16 and 24 to get 40.

$$-26y=40$$

Divide both sides by -26.

$$y=\frac{40}{-26}$$

Reduce the fraction \frac{40}{-26} to lowest terms by extracting and canceling out 2.

$$y=-\frac{20}{13}$$