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Simplifying 5(y + 4) = -8y + -45 Reorder the terms: 5(4 + y) = -8y + -45 (4 * 5 + y * 5) = -8y + -45 (20 + 5y) = -8y + -45 Reorder the terms: 20 + 5y = -45 + -8y Solving 20 + 5y = -45 + -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. 20 + 5y + 8y = -45 + -8y + 8y Combine like terms: 5y + 8y = 13y 20 + 13y = -45 + -8y + 8y Combine like terms: -8y + 8y = 0 20 + 13y = -45 + 0 20 + 13y = -45 Add '-20' to each side of the equation. 20 + -20 + 13y = -45 + -20 Combine like terms: 20 + -20 = 0 0 + 13y = -45 + -20 13y = -45 + -20 Combine like terms: -45 + -20 = -65 13y = -65 Divide each side by '13'. y = -5 Simplifying y = -5
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