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Simplifying 5(y + 8) = 2y + 46 Reorder the terms: 5(8 + y) = 2y + 46 (8 * 5 + y * 5) = 2y + 46 (40 + 5y) = 2y + 46 Reorder the terms: 40 + 5y = 46 + 2y Solving 40 + 5y = 46 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 40 + 5y + -2y = 46 + 2y + -2y Combine like terms: 5y + -2y = 3y 40 + 3y = 46 + 2y + -2y Combine like terms: 2y + -2y = 0 40 + 3y = 46 + 0 40 + 3y = 46 Add '-40' to each side of the equation. 40 + -40 + 3y = 46 + -40 Combine like terms: 40 + -40 = 0 0 + 3y = 46 + -40 3y = 46 + -40 Combine like terms: 46 + -40 = 6 3y = 6 Divide each side by '3'. y = 2 Simplifying y = 2
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