Solve -2(y+3)=4y-1+2(6y+2)

$$- 2 ( y + 3 ) = 4 y - 1 + 2 ( 6 y + 2 )$$

Solve for y

$$y=-\frac{1}{2}=-0.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by y+3.

$$-2y-6=4y-1+2\left(6y+2\right)$$

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

$$-2y-6=4y-1+12y+4$$

Combine 4y and 12y to get 16y.

$$-2y-6=16y-1+4$$

Add -1 and 4 to get 3.

$$-2y-6=16y+3$$

Subtract 16y from both sides.

$$-2y-6-16y=3$$

Combine -2y and -16y to get -18y.

$$-18y-6=3$$

Add 6 to both sides.

$$-18y=3+6$$

Add 3 and 6 to get 9.

$$-18y=9$$

Divide both sides by -18.

$$y=\frac{9}{-18}$$

Reduce the fraction \frac{9}{-18} to lowest terms by extracting and canceling out 9.

$$y=-\frac{1}{2}$$