How do you solve 5y + 9- 2( - 4y - 2) = 5( y - 1)?

1 Answer
Sep 16, 2017

y=-18/8

Explanation:

5y + 9 - 2(-4y-2) = 5(y-1)

To simplify the eqaution,we need to solve the brackets,we need to multiply -2 with (-4y-2) and also 5 with (y-1)

Now, -2*(-4y-2) = (-2)(-4y) + (-2)(-2)
Therefore, -2
(-4y-2) = 8y +4

Also, 5*(y-1)=(5*y)-5*(1)
Therefore, 5.(y-1)=5y-5

Substituting these values of brackets in equation,we have

5y+9+8y+4=5y-5
Therefore, (5y+8y)+(9+4)=5y-5
Therefore, 13y +13=5y-5
Therefore,(13y-5y)=(-5-13)
Therefore,8y=-18
Thus,y=-18/8