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Simplifying 3(y + -9) = 2(5 + y) Reorder the terms: 3(-9 + y) = 2(5 + y) (-9 * 3 + y * 3) = 2(5 + y) (-27 + 3y) = 2(5 + y) -27 + 3y = (5 * 2 + y * 2) -27 + 3y = (10 + 2y) Solving -27 + 3y = 10 + 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. -27 + 3y + -2y = 10 + 2y + -2y Combine like terms: 3y + -2y = 1y -27 + 1y = 10 + 2y + -2y Combine like terms: 2y + -2y = 0 -27 + 1y = 10 + 0 -27 + 1y = 10 Add '27' to each side of the equation. -27 + 27 + 1y = 10 + 27 Combine like terms: -27 + 27 = 0 0 + 1y = 10 + 27 1y = 10 + 27 Combine like terms: 10 + 27 = 37 1y = 37 Divide each side by '1'. y = 37 Simplifying y = 37
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