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Simplifying 8(y + 3) + 2 = 5 + 5y Reorder the terms: 8(3 + y) + 2 = 5 + 5y (3 * 8 + y * 8) + 2 = 5 + 5y (24 + 8y) + 2 = 5 + 5y Reorder the terms: 24 + 2 + 8y = 5 + 5y Combine like terms: 24 + 2 = 26 26 + 8y = 5 + 5y Solving 26 + 8y = 5 + 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. 26 + 8y + -5y = 5 + 5y + -5y Combine like terms: 8y + -5y = 3y 26 + 3y = 5 + 5y + -5y Combine like terms: 5y + -5y = 0 26 + 3y = 5 + 0 26 + 3y = 5 Add '-26' to each side of the equation. 26 + -26 + 3y = 5 + -26 Combine like terms: 26 + -26 = 0 0 + 3y = 5 + -26 3y = 5 + -26 Combine like terms: 5 + -26 = -21 3y = -21 Divide each side by '3'. y = -7 Simplifying y = -7
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