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Simplifying -5(2y + 18) + 7 = -3 + 12y + -14 Reorder the terms: -5(18 + 2y) + 7 = -3 + 12y + -14 (18 * -5 + 2y * -5) + 7 = -3 + 12y + -14 (-90 + -10y) + 7 = -3 + 12y + -14 Reorder the terms: -90 + 7 + -10y = -3 + 12y + -14 Combine like terms: -90 + 7 = -83 -83 + -10y = -3 + 12y + -14 Reorder the terms: -83 + -10y = -3 + -14 + 12y Combine like terms: -3 + -14 = -17 -83 + -10y = -17 + 12y Solving -83 + -10y = -17 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -83 + -10y + -12y = -17 + 12y + -12y Combine like terms: -10y + -12y = -22y -83 + -22y = -17 + 12y + -12y Combine like terms: 12y + -12y = 0 -83 + -22y = -17 + 0 -83 + -22y = -17 Add '83' to each side of the equation. -83 + 83 + -22y = -17 + 83 Combine like terms: -83 + 83 = 0 0 + -22y = -17 + 83 -22y = -17 + 83 Combine like terms: -17 + 83 = 66 -22y = 66 Divide each side by '-22'. y = -3 Simplifying y = -3
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