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Simplifying -6 + 7 = -8y + 9(y + 3) Combine like terms: -6 + 7 = 1 1 = -8y + 9(y + 3) Reorder the terms: 1 = -8y + 9(3 + y) 1 = -8y + (3 * 9 + y * 9) 1 = -8y + (27 + 9y) Reorder the terms: 1 = 27 + -8y + 9y Combine like terms: -8y + 9y = 1y 1 = 27 + 1y Solving 1 = 27 + 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. 1 + -1y = 27 + 1y + -1y Combine like terms: 1y + -1y = 0 1 + -1y = 27 + 0 1 + -1y = 27 Add '-1' to each side of the equation. 1 + -1 + -1y = 27 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 27 + -1 -1y = 27 + -1 Combine like terms: 27 + -1 = 26 -1y = 26 Divide each side by '-1'. y = -26 Simplifying y = -26
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