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Simplifying 8(y + 2) = 2(3y + 4) Reorder the terms: 8(2 + y) = 2(3y + 4) (2 * 8 + y * 8) = 2(3y + 4) (16 + 8y) = 2(3y + 4) Reorder the terms: 16 + 8y = 2(4 + 3y) 16 + 8y = (4 * 2 + 3y * 2) 16 + 8y = (8 + 6y) Solving 16 + 8y = 8 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 16 + 8y + -6y = 8 + 6y + -6y Combine like terms: 8y + -6y = 2y 16 + 2y = 8 + 6y + -6y Combine like terms: 6y + -6y = 0 16 + 2y = 8 + 0 16 + 2y = 8 Add '-16' to each side of the equation. 16 + -16 + 2y = 8 + -16 Combine like terms: 16 + -16 = 0 0 + 2y = 8 + -16 2y = 8 + -16 Combine like terms: 8 + -16 = -8 2y = -8 Divide each side by '2'. y = -4 Simplifying y = -4
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