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Simplifying 8(y + 2) = 2(2y + 4) Reorder the terms: 8(2 + y) = 2(2y + 4) (2 * 8 + y * 8) = 2(2y + 4) (16 + 8y) = 2(2y + 4) Reorder the terms: 16 + 8y = 2(4 + 2y) 16 + 8y = (4 * 2 + 2y * 2) 16 + 8y = (8 + 4y) Solving 16 + 8y = 8 + 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 + 8y + -4y = 8 + 4y + -4y Combine like terms: 8y + -4y = 4y 16 + 4y = 8 + 4y + -4y Combine like terms: 4y + -4y = 0 16 + 4y = 8 + 0 16 + 4y = 8 Add '-16' to each side of the equation. 16 + -16 + 4y = 8 + -16 Combine like terms: 16 + -16 = 0 0 + 4y = 8 + -16 4y = 8 + -16 Combine like terms: 8 + -16 = -8 4y = -8 Divide each side by '4'. y = -2 Simplifying y = -2
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