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Simplifying -14 + -9 = 12y + 8 + -11y Combine like terms: -14 + -9 = -23 -23 = 12y + 8 + -11y Reorder the terms: -23 = 8 + 12y + -11y Combine like terms: 12y + -11y = 1y -23 = 8 + 1y Solving -23 = 8 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -23 + -1y = 8 + 1y + -1y Combine like terms: 1y + -1y = 0 -23 + -1y = 8 + 0 -23 + -1y = 8 Add '23' to each side of the equation. -23 + 23 + -1y = 8 + 23 Combine like terms: -23 + 23 = 0 0 + -1y = 8 + 23 -1y = 8 + 23 Combine like terms: 8 + 23 = 31 -1y = 31 Divide each side by '-1'. y = -31 Simplifying y = -31
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