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Simplifying -3[y + -1(2y + 3)] + 6y = -9 Reorder the terms: -3[y + -1(3 + 2y)] + 6y = -9 -3[y + (3 * -1 + 2y * -1)] + 6y = -9 -3[y + (-3 + -2y)] + 6y = -9 Reorder the terms: -3[-3 + y + -2y] + 6y = -9 Combine like terms: y + -2y = -1y -3[-3 + -1y] + 6y = -9 [-3 * -3 + -1y * -3] + 6y = -9 [9 + 3y] + 6y = -9 Combine like terms: 3y + 6y = 9y 9 + 9y = -9 Solving 9 + 9y = -9 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 9y = -9 + -9 Combine like terms: 9 + -9 = 0 0 + 9y = -9 + -9 9y = -9 + -9 Combine like terms: -9 + -9 = -18 9y = -18 Divide each side by '9'. y = -2 Simplifying y = -2
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