6y+8=-3y-28 Here is what I did
6y+8-8=-3y-28-8
6y=-3y+20
6y-(-3y)=-3y-(-3y)+20
3y/3 = 20/3
y=6.66666666667
what did I do wrong
you added 8 and made it 20 when really it should be -36 on the right side
6y = -3y -36
+3y +3y
9y = -36
divide both sides by 9
y = -4
It seems like you made a calculation error when simplifying the equation. Let's go through the steps and see where the mistake occurred.
Starting with the original equation:
6y + 8 = -3y - 28
You correctly subtracted 8 from both sides to isolate the y terms:
6y + 8 - 8 = -3y - 28 - 8
6y = -3y - 20
However, when you proceeded to combine the y terms on the right side, there seems to be an error:
6y - (-3y) = -3y - (-3y) + 20
This should actually be:
6y + 3y = -3y + 3y + 20
By combining like terms on both sides:
9y = 20
And finally, solving for y by dividing both sides by 9:
y = 20/9
So, the correct solution for the equation 6y + 8 = -3y - 28 is y = 20/9 or approximately 2.222.