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Simplifying -3y + 1(3y + 9) = -9 + -9(4 + -1y) Reorder the terms: -3y + 1(9 + 3y) = -9 + -9(4 + -1y) -3y + (9 * 1 + 3y * 1) = -9 + -9(4 + -1y) -3y + (9 + 3y) = -9 + -9(4 + -1y) Reorder the terms: 9 + -3y + 3y = -9 + -9(4 + -1y) Combine like terms: -3y + 3y = 0 9 + 0 = -9 + -9(4 + -1y) 9 = -9 + -9(4 + -1y) 9 = -9 + (4 * -9 + -1y * -9) 9 = -9 + (-36 + 9y) Combine like terms: -9 + -36 = -45 9 = -45 + 9y Solving 9 = -45 + 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. 9 + -9y = -45 + 9y + -9y Combine like terms: 9y + -9y = 0 9 + -9y = -45 + 0 9 + -9y = -45 Add '-9' to each side of the equation. 9 + -9 + -9y = -45 + -9 Combine like terms: 9 + -9 = 0 0 + -9y = -45 + -9 -9y = -45 + -9 Combine like terms: -45 + -9 = -54 -9y = -54 Divide each side by '-9'. y = 6 Simplifying y = 6
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