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Simplifying 45 + -1[4 + -2y + -4(y + 7)] = 0 Reorder the terms: 45 + -1[4 + -2y + -4(7 + y)] = 0 45 + -1[4 + -2y + (7 * -4 + y * -4)] = 0 45 + -1[4 + -2y + (-28 + -4y)] = 0 Reorder the terms: 45 + -1[4 + -28 + -2y + -4y] = 0 Combine like terms: 4 + -28 = -24 45 + -1[-24 + -2y + -4y] = 0 Combine like terms: -2y + -4y = -6y 45 + -1[-24 + -6y] = 0 45 + [-24 * -1 + -6y * -1] = 0 45 + [24 + 6y] = 0 Combine like terms: 45 + 24 = 69 69 + 6y = 0 Solving 69 + 6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-69' to each side of the equation. 69 + -69 + 6y = 0 + -69 Combine like terms: 69 + -69 = 0 0 + 6y = 0 + -69 6y = 0 + -69 Combine like terms: 0 + -69 = -69 6y = -69 Divide each side by '6'. y = -11.5 Simplifying y = -11.5
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