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Simplifying (y + -9) + -1(y + 8) = 2y Reorder the terms: (-9 + y) + -1(y + 8) = 2y Remove parenthesis around (-9 + y) -9 + y + -1(y + 8) = 2y Reorder the terms: -9 + y + -1(8 + y) = 2y -9 + y + (8 * -1 + y * -1) = 2y -9 + y + (-8 + -1y) = 2y Reorder the terms: -9 + -8 + y + -1y = 2y Combine like terms: -9 + -8 = -17 -17 + y + -1y = 2y Combine like terms: y + -1y = 0 -17 + 0 = 2y -17 = 2y Solving -17 = 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. -17 + -2y = 2y + -2y Combine like terms: 2y + -2y = 0 -17 + -2y = 0 Add '17' to each side of the equation. -17 + 17 + -2y = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -2y = 0 + 17 -2y = 0 + 17 Combine like terms: 0 + 17 = 17 -2y = 17 Divide each side by '-2'. y = -8.5 Simplifying y = -8.5
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