How to show work for this problem. y - (6-y) = 8 (y+4)

y = - 19/3 (decimal: y = - 6.333 ...)

Step-by-step explanation:

y - (6 - y) = 8 (y + 4)

expand 2y - 6

expand 8y + 32

2y - 6 = 8y + 32

add 6 to both sides

2y - 6 + 6 = 8y + 32 + 6

simplify

2y = 8y + 38

subtract 8y from both sides

2y - 8y = 8y + 38 - 8y

-6y = 38

divide both sides by - 6

-6y/-6 = 38/-6

simplify

y = - 19/3