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Simplifying 9(y + -4) = 8(5 + y) Reorder the terms: 9(-4 + y) = 8(5 + y) (-4 * 9 + y * 9) = 8(5 + y) (-36 + 9y) = 8(5 + y) -36 + 9y = (5 * 8 + y * 8) -36 + 9y = (40 + 8y) Solving -36 + 9y = 40 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -36 + 9y + -8y = 40 + 8y + -8y Combine like terms: 9y + -8y = 1y -36 + 1y = 40 + 8y + -8y Combine like terms: 8y + -8y = 0 -36 + 1y = 40 + 0 -36 + 1y = 40 Add '36' to each side of the equation. -36 + 36 + 1y = 40 + 36 Combine like terms: -36 + 36 = 0 0 + 1y = 40 + 36 1y = 40 + 36 Combine like terms: 40 + 36 = 76 1y = 76 Divide each side by '1'. y = 76 Simplifying y = 76
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