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Simplifying y + (2y + -9) + -1(y + 18) = 35 Reorder the terms: y + (-9 + 2y) + -1(y + 18) = 35 Remove parenthesis around (-9 + 2y) y + -9 + 2y + -1(y + 18) = 35 Reorder the terms: y + -9 + 2y + -1(18 + y) = 35 y + -9 + 2y + (18 * -1 + y * -1) = 35 y + -9 + 2y + (-18 + -1y) = 35 Reorder the terms: -9 + -18 + y + 2y + -1y = 35 Combine like terms: -9 + -18 = -27 -27 + y + 2y + -1y = 35 Combine like terms: y + 2y = 3y -27 + 3y + -1y = 35 Combine like terms: 3y + -1y = 2y -27 + 2y = 35 Solving -27 + 2y = 35 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 2y = 35 + 27 Combine like terms: -27 + 27 = 0 0 + 2y = 35 + 27 2y = 35 + 27 Combine like terms: 35 + 27 = 62 2y = 62 Divide each side by '2'. y = 31 Simplifying y = 31
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