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Simplifying 4(y + 7) = 2(y + 41) Reorder the terms: 4(7 + y) = 2(y + 41) (7 * 4 + y * 4) = 2(y + 41) (28 + 4y) = 2(y + 41) Reorder the terms: 28 + 4y = 2(41 + y) 28 + 4y = (41 * 2 + y * 2) 28 + 4y = (82 + 2y) Solving 28 + 4y = 82 + 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. 28 + 4y + -2y = 82 + 2y + -2y Combine like terms: 4y + -2y = 2y 28 + 2y = 82 + 2y + -2y Combine like terms: 2y + -2y = 0 28 + 2y = 82 + 0 28 + 2y = 82 Add '-28' to each side of the equation. 28 + -28 + 2y = 82 + -28 Combine like terms: 28 + -28 = 0 0 + 2y = 82 + -28 2y = 82 + -28 Combine like terms: 82 + -28 = 54 2y = 54 Divide each side by '2'. y = 27 Simplifying y = 27
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