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Simplifying -5 + 2y + -14 = -19 + -1y + 9 Reorder the terms: -5 + -14 + 2y = -19 + -1y + 9 Combine like terms: -5 + -14 = -19 -19 + 2y = -19 + -1y + 9 Reorder the terms: -19 + 2y = -19 + 9 + -1y Combine like terms: -19 + 9 = -10 -19 + 2y = -10 + -1y Solving -19 + 2y = -10 + -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. -19 + 2y + y = -10 + -1y + y Combine like terms: 2y + y = 3y -19 + 3y = -10 + -1y + y Combine like terms: -1y + y = 0 -19 + 3y = -10 + 0 -19 + 3y = -10 Add '19' to each side of the equation. -19 + 19 + 3y = -10 + 19 Combine like terms: -19 + 19 = 0 0 + 3y = -10 + 19 3y = -10 + 19 Combine like terms: -10 + 19 = 9 3y = 9 Divide each side by '3'. y = 3 Simplifying y = 3
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