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Simplifying 4(2y + 5) = 6 + 5y Reorder the terms: 4(5 + 2y) = 6 + 5y (5 * 4 + 2y * 4) = 6 + 5y (20 + 8y) = 6 + 5y Solving 20 + 8y = 6 + 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. 20 + 8y + -5y = 6 + 5y + -5y Combine like terms: 8y + -5y = 3y 20 + 3y = 6 + 5y + -5y Combine like terms: 5y + -5y = 0 20 + 3y = 6 + 0 20 + 3y = 6 Add '-20' to each side of the equation. 20 + -20 + 3y = 6 + -20 Combine like terms: 20 + -20 = 0 0 + 3y = 6 + -20 3y = 6 + -20 Combine like terms: 6 + -20 = -14 3y = -14 Divide each side by '3'. y = -4.666666667 Simplifying y = -4.666666667
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