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Simplifying 5y + -1[6 + -2(y + 4)] = 9y + 18 Reorder the terms: 5y + -1[6 + -2(4 + y)] = 9y + 18 5y + -1[6 + (4 * -2 + y * -2)] = 9y + 18 5y + -1[6 + (-8 + -2y)] = 9y + 18 Combine like terms: 6 + -8 = -2 5y + -1[-2 + -2y] = 9y + 18 5y + [-2 * -1 + -2y * -1] = 9y + 18 5y + [2 + 2y] = 9y + 18 Reorder the terms: 2 + 5y + 2y = 9y + 18 Combine like terms: 5y + 2y = 7y 2 + 7y = 9y + 18 Reorder the terms: 2 + 7y = 18 + 9y Solving 2 + 7y = 18 + 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. 2 + 7y + -9y = 18 + 9y + -9y Combine like terms: 7y + -9y = -2y 2 + -2y = 18 + 9y + -9y Combine like terms: 9y + -9y = 0 2 + -2y = 18 + 0 2 + -2y = 18 Add '-2' to each side of the equation. 2 + -2 + -2y = 18 + -2 Combine like terms: 2 + -2 = 0 0 + -2y = 18 + -2 -2y = 18 + -2 Combine like terms: 18 + -2 = 16 -2y = 16 Divide each side by '-2'. y = -8 Simplifying y = -8
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