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Simplifying 2(y + 4) = 3y + 5 Reorder the terms: 2(4 + y) = 3y + 5 (4 * 2 + y * 2) = 3y + 5 (8 + 2y) = 3y + 5 Reorder the terms: 8 + 2y = 5 + 3y Solving 8 + 2y = 5 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 8 + 2y + -3y = 5 + 3y + -3y Combine like terms: 2y + -3y = -1y 8 + -1y = 5 + 3y + -3y Combine like terms: 3y + -3y = 0 8 + -1y = 5 + 0 8 + -1y = 5 Add '-8' to each side of the equation. 8 + -8 + -1y = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -1y = 5 + -8 -1y = 5 + -8 Combine like terms: 5 + -8 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3
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