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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 = -3y 20 + -3y = -45 + 8y + -8y Combine like terms: 8y + -8y = 0 20 + -3y = -45 + 0 20 + -3y = -45 Add '-20' to each side of the equation. 20 + -20 + -3y = -45 + -20 Combine like terms: 20 + -20 = 0 0 + -3y = -45 + -20 -3y = -45 + -20 Combine like terms: -45 + -20 = -65 -3y = -65 Divide each side by '-3'. y = 21.66666667 Simplifying y = 21.66666667
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