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Simplifying -6y + 5(6y + 2) = -7 + 9(-9 + -1y) Reorder the terms: -6y + 5(2 + 6y) = -7 + 9(-9 + -1y) -6y + (2 * 5 + 6y * 5) = -7 + 9(-9 + -1y) -6y + (10 + 30y) = -7 + 9(-9 + -1y) Reorder the terms: 10 + -6y + 30y = -7 + 9(-9 + -1y) Combine like terms: -6y + 30y = 24y 10 + 24y = -7 + 9(-9 + -1y) 10 + 24y = -7 + (-9 * 9 + -1y * 9) 10 + 24y = -7 + (-81 + -9y) Combine like terms: -7 + -81 = -88 10 + 24y = -88 + -9y Solving 10 + 24y = -88 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. 10 + 24y + 9y = -88 + -9y + 9y Combine like terms: 24y + 9y = 33y 10 + 33y = -88 + -9y + 9y Combine like terms: -9y + 9y = 0 10 + 33y = -88 + 0 10 + 33y = -88 Add '-10' to each side of the equation. 10 + -10 + 33y = -88 + -10 Combine like terms: 10 + -10 = 0 0 + 33y = -88 + -10 33y = -88 + -10 Combine like terms: -88 + -10 = -98 33y = -98 Divide each side by '33'. y = -2.96969697 Simplifying y = -2.96969697
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