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Simplifying 8(y + 1) = 4y + -8 Reorder the terms: 8(1 + y) = 4y + -8 (1 * 8 + y * 8) = 4y + -8 (8 + 8y) = 4y + -8 Reorder the terms: 8 + 8y = -8 + 4y Solving 8 + 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. 8 + 8y + -4y = -8 + 4y + -4y Combine like terms: 8y + -4y = 4y 8 + 4y = -8 + 4y + -4y Combine like terms: 4y + -4y = 0 8 + 4y = -8 + 0 8 + 4y = -8 Add '-8' to each side of the equation. 8 + -8 + 4y = -8 + -8 Combine like terms: 8 + -8 = 0 0 + 4y = -8 + -8 4y = -8 + -8 Combine like terms: -8 + -8 = -16 4y = -16 Divide each side by '4'. y = -4 Simplifying y = -4
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