Solve -2(5y+1)=-4(y+6)-2

$$-2(5y+1)=-4(y+6)-2$$

Solve for y

$$y=4$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by 5y+1.

$$-10y-2=-4\left(y+6\right)-2$$

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

$$-10y-2=-4y-24-2$$

Subtract 2 from -24 to get -26.

$$-10y-2=-4y-26$$

Add 4y to both sides.

$$-10y-2+4y=-26$$

Combine -10y and 4y to get -6y.

$$-6y-2=-26$$

Add 2 to both sides.

$$-6y=-26+2$$

Add -26 and 2 to get -24.

$$-6y=-24$$

Divide both sides by -6.

$$y=\frac{-24}{-6}$$

Divide -24 by -6 to get 4.

$$y=4$$