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Simplifying 4[8 + -1y] = 4y + 16 [8 * 4 + -1y * 4] = 4y + 16 [32 + -4y] = 4y + 16 Reorder the terms: 32 + -4y = 16 + 4y Solving 32 + -4y = 16 + 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. 32 + -4y + -4y = 16 + 4y + -4y Combine like terms: -4y + -4y = -8y 32 + -8y = 16 + 4y + -4y Combine like terms: 4y + -4y = 0 32 + -8y = 16 + 0 32 + -8y = 16 Add '-32' to each side of the equation. 32 + -32 + -8y = 16 + -32 Combine like terms: 32 + -32 = 0 0 + -8y = 16 + -32 -8y = 16 + -32 Combine like terms: 16 + -32 = -16 -8y = -16 Divide each side by '-8'. y = 2 Simplifying y = 2
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