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Simplifying 5[y + 2] + -3[y + -1] = -27 Reorder the terms: 5[2 + y] + -3[y + -1] = -27 [2 * 5 + y * 5] + -3[y + -1] = -27 [10 + 5y] + -3[y + -1] = -27 Reorder the terms: 10 + 5y + -3[-1 + y] = -27 10 + 5y + [-1 * -3 + y * -3] = -27 10 + 5y + [3 + -3y] = -27 Reorder the terms: 10 + 3 + 5y + -3y = -27 Combine like terms: 10 + 3 = 13 13 + 5y + -3y = -27 Combine like terms: 5y + -3y = 2y 13 + 2y = -27 Solving 13 + 2y = -27 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 2y = -27 + -13 Combine like terms: 13 + -13 = 0 0 + 2y = -27 + -13 2y = -27 + -13 Combine like terms: -27 + -13 = -40 2y = -40 Divide each side by '2'. y = -20 Simplifying y = -20
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