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Simplifying 2(2y) + 2(y + 8) = 2(y + 25) + 2y Remove parenthesis around (2y) 2 * 2y + 2(y + 8) = 2(y + 25) + 2y Multiply 2 * 2 4y + 2(y + 8) = 2(y + 25) + 2y Reorder the terms: 4y + 2(8 + y) = 2(y + 25) + 2y 4y + (8 * 2 + y * 2) = 2(y + 25) + 2y 4y + (16 + 2y) = 2(y + 25) + 2y Reorder the terms: 16 + 4y + 2y = 2(y + 25) + 2y Combine like terms: 4y + 2y = 6y 16 + 6y = 2(y + 25) + 2y Reorder the terms: 16 + 6y = 2(25 + y) + 2y 16 + 6y = (25 * 2 + y * 2) + 2y 16 + 6y = (50 + 2y) + 2y Combine like terms: 2y + 2y = 4y 16 + 6y = 50 + 4y Solving 16 + 6y = 50 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 16 + 6y + -4y = 50 + 4y + -4y Combine like terms: 6y + -4y = 2y 16 + 2y = 50 + 4y + -4y Combine like terms: 4y + -4y = 0 16 + 2y = 50 + 0 16 + 2y = 50 Add '-16' to each side of the equation. 16 + -16 + 2y = 50 + -16 Combine like terms: 16 + -16 = 0 0 + 2y = 50 + -16 2y = 50 + -16 Combine like terms: 50 + -16 = 34 2y = 34 Divide each side by '2'. y = 17 Simplifying y = 17
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