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Simplifying 8(2y + 4) = 8y Reorder the terms: 8(4 + 2y) = 8y (4 * 8 + 2y * 8) = 8y (32 + 16y) = 8y Solving 32 + 16y = 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 32 + 16y + -8y = 8y + -8y Combine like terms: 16y + -8y = 8y 32 + 8y = 8y + -8y Combine like terms: 8y + -8y = 0 32 + 8y = 0 Add '-32' to each side of the equation. 32 + -32 + 8y = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 8y = 0 + -32 8y = 0 + -32 Combine like terms: 0 + -32 = -32 8y = -32 Divide each side by '8'. y = -4 Simplifying y = -4
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