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Simplifying -17 + 2y + 12 = 18 + -1y + 16 Reorder the terms: -17 + 12 + 2y = 18 + -1y + 16 Combine like terms: -17 + 12 = -5 -5 + 2y = 18 + -1y + 16 Reorder the terms: -5 + 2y = 18 + 16 + -1y Combine like terms: 18 + 16 = 34 -5 + 2y = 34 + -1y Solving -5 + 2y = 34 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -5 + 2y + y = 34 + -1y + y Combine like terms: 2y + y = 3y -5 + 3y = 34 + -1y + y Combine like terms: -1y + y = 0 -5 + 3y = 34 + 0 -5 + 3y = 34 Add '5' to each side of the equation. -5 + 5 + 3y = 34 + 5 Combine like terms: -5 + 5 = 0 0 + 3y = 34 + 5 3y = 34 + 5 Combine like terms: 34 + 5 = 39 3y = 39 Divide each side by '3'. y = 13 Simplifying y = 13
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