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Simplifying -1(y + 5) + 2y + -12 = -16 Reorder the terms: -1(5 + y) + 2y + -12 = -16 (5 * -1 + y * -1) + 2y + -12 = -16 (-5 + -1y) + 2y + -12 = -16 Reorder the terms: -5 + -12 + -1y + 2y = -16 Combine like terms: -5 + -12 = -17 -17 + -1y + 2y = -16 Combine like terms: -1y + 2y = 1y -17 + 1y = -16 Solving -17 + 1y = -16 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 1y = -16 + 17 Combine like terms: -17 + 17 = 0 0 + 1y = -16 + 17 1y = -16 + 17 Combine like terms: -16 + 17 = 1 1y = 1 Divide each side by '1'. y = 1 Simplifying y = 1
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