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Simplifying 9(y + -5) = 8(4 + y) Reorder the terms: 9(-5 + y) = 8(4 + y) (-5 * 9 + y * 9) = 8(4 + y) (-45 + 9y) = 8(4 + y) -45 + 9y = (4 * 8 + y * 8) -45 + 9y = (32 + 8y) Solving -45 + 9y = 32 + 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. -45 + 9y + -8y = 32 + 8y + -8y Combine like terms: 9y + -8y = 1y -45 + 1y = 32 + 8y + -8y Combine like terms: 8y + -8y = 0 -45 + 1y = 32 + 0 -45 + 1y = 32 Add '45' to each side of the equation. -45 + 45 + 1y = 32 + 45 Combine like terms: -45 + 45 = 0 0 + 1y = 32 + 45 1y = 32 + 45 Combine like terms: 32 + 45 = 77 1y = 77 Divide each side by '1'. y = 77 Simplifying y = 77
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