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Simplifying 7 + -1[4y + -9] = 8 + -5y Reorder the terms: 7 + -1[-9 + 4y] = 8 + -5y 7 + [-9 * -1 + 4y * -1] = 8 + -5y 7 + [9 + -4y] = 8 + -5y Combine like terms: 7 + 9 = 16 16 + -4y = 8 + -5y Solving 16 + -4y = 8 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 16 + -4y + 5y = 8 + -5y + 5y Combine like terms: -4y + 5y = 1y 16 + 1y = 8 + -5y + 5y Combine like terms: -5y + 5y = 0 16 + 1y = 8 + 0 16 + 1y = 8 Add '-16' to each side of the equation. 16 + -16 + 1y = 8 + -16 Combine like terms: 16 + -16 = 0 0 + 1y = 8 + -16 1y = 8 + -16 Combine like terms: 8 + -16 = -8 1y = -8 Divide each side by '1'. y = -8 Simplifying y = -8
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