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Simplifying 2(y + 1) = 4y + 8 Reorder the terms: 2(1 + y) = 4y + 8 (1 * 2 + y * 2) = 4y + 8 (2 + 2y) = 4y + 8 Reorder the terms: 2 + 2y = 8 + 4y Solving 2 + 2y = 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. 2 + 2y + -4y = 8 + 4y + -4y Combine like terms: 2y + -4y = -2y 2 + -2y = 8 + 4y + -4y Combine like terms: 4y + -4y = 0 2 + -2y = 8 + 0 2 + -2y = 8 Add '-2' to each side of the equation. 2 + -2 + -2y = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -2y = 8 + -2 -2y = 8 + -2 Combine like terms: 8 + -2 = 6 -2y = 6 Divide each side by '-2'. y = -3 Simplifying y = -3
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