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Simplifying 7y + (8 + 3y) + 38 = 2y + 2 Remove parenthesis around (8 + 3y) 7y + 8 + 3y + 38 = 2y + 2 Reorder the terms: 8 + 38 + 7y + 3y = 2y + 2 Combine like terms: 8 + 38 = 46 46 + 7y + 3y = 2y + 2 Combine like terms: 7y + 3y = 10y 46 + 10y = 2y + 2 Reorder the terms: 46 + 10y = 2 + 2y Solving 46 + 10y = 2 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 46 + 10y + -2y = 2 + 2y + -2y Combine like terms: 10y + -2y = 8y 46 + 8y = 2 + 2y + -2y Combine like terms: 2y + -2y = 0 46 + 8y = 2 + 0 46 + 8y = 2 Add '-46' to each side of the equation. 46 + -46 + 8y = 2 + -46 Combine like terms: 46 + -46 = 0 0 + 8y = 2 + -46 8y = 2 + -46 Combine like terms: 2 + -46 = -44 8y = -44 Divide each side by '8'. y = -5.5 Simplifying y = -5.5
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