Solve 2-5(2y+4)-(-3y-1)=-(y+5)

$$2 - 5 ( 2 y + 4 ) - ( - 3 y - 1 ) = - ( y + 5 )$$

Solve for y

$$y=-2$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by 2y+4.

$$2-10y-20-\left(-3y-1\right)=-\left(y+5\right)$$

Subtract 20 from 2 to get -18.

$$-18-10y-\left(-3y-1\right)=-\left(y+5\right)$$

To find the opposite of -3y-1, find the opposite of each term.

$$-18-10y-\left(-3y\right)-\left(-1\right)=-\left(y+5\right)$$

The opposite of -3y is 3y.

$$-18-10y+3y-\left(-1\right)=-\left(y+5\right)$$

The opposite of -1 is 1.

$$-18-10y+3y+1=-\left(y+5\right)$$

Combine -10y and 3y to get -7y.

$$-18-7y+1=-\left(y+5\right)$$

Add -18 and 1 to get -17.

$$-17-7y=-\left(y+5\right)$$

To find the opposite of y+5, find the opposite of each term.

$$-17-7y=-y-5$$

Add y to both sides.

$$-17-7y+y=-5$$

Combine -7y and y to get -6y.

$$-17-6y=-5$$

Add 17 to both sides.

$$-6y=-5+17$$

Add -5 and 17 to get 12.

$$-6y=12$$

Divide both sides by -6.

$$y=\frac{12}{-6}$$

Divide 12 by -6 to get -2.

$$y=-2$$