Solve -7-6(6y+6)=-(3y+8)+3

$$- 7 - 6 ( 6 y + 6 ) = - ( 3 y + 8 ) + 3$$

Solve for y

$$y = -\frac{38}{33} = -1\frac{5}{33} \approx -1.151515152$$

Steps for Solving Linear Equation

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

$$-7-36y-36=-\left(3y+8\right)+3$$

Subtract 36 from -7 to get -43.

$$-43-36y=-\left(3y+8\right)+3$$

To find the opposite of 3y+8, find the opposite of each term.

$$-43-36y=-3y-8+3$$

Add -8 and 3 to get -5.

$$-43-36y=-3y-5$$

Add 3y to both sides.

$$-43-36y+3y=-5$$

Combine -36y and 3y to get -33y.

$$-43-33y=-5$$

Add 43 to both sides.

$$-33y=-5+43$$

Add -5 and 43 to get 38.

$$-33y=38$$

Divide both sides by -33.

$$y=\frac{38}{-33}$$

Fraction \frac{38}{-33} can be rewritten as -\frac{38}{33} by extracting the negative sign.

$$y=-\frac{38}{33}$$