Solve -6(y+3)=2y-6+2(2y+1)

$$- 6 ( y + 3 ) = 2 y - 6 + 2 ( 2 y + 1 )$$

Solve for y

$$y = -\frac{7}{6} = -1\frac{1}{6} \approx -1.166666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply -6 by y+3.

$$-6y-18=2y-6+2\left(2y+1\right)$$

Use the distributive property to multiply 2 by 2y+1.

$$-6y-18=2y-6+4y+2$$

Combine 2y and 4y to get 6y.

$$-6y-18=6y-6+2$$

Add -6 and 2 to get -4.

$$-6y-18=6y-4$$

Subtract 6y from both sides.

$$-6y-18-6y=-4$$

Combine -6y and -6y to get -12y.

$$-12y-18=-4$$

Add 18 to both sides.

$$-12y=-4+18$$

Add -4 and 18 to get 14.

$$-12y=14$$

Divide both sides by -12.

$$y=\frac{14}{-12}$$

Reduce the fraction \frac{14}{-12} to lowest terms by extracting and canceling out 2.

$$y=-\frac{7}{6}$$