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

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Answer:

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

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

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