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Simplifying -4y + 8 = -2(4y + 12) Reorder the terms: 8 + -4y = -2(4y + 12) Reorder the terms: 8 + -4y = -2(12 + 4y) 8 + -4y = (12 * -2 + 4y * -2) 8 + -4y = (-24 + -8y) Solving 8 + -4y = -24 + -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. 8 + -4y + 8y = -24 + -8y + 8y Combine like terms: -4y + 8y = 4y 8 + 4y = -24 + -8y + 8y Combine like terms: -8y + 8y = 0 8 + 4y = -24 + 0 8 + 4y = -24 Add '-8' to each side of the equation. 8 + -8 + 4y = -24 + -8 Combine like terms: 8 + -8 = 0 0 + 4y = -24 + -8 4y = -24 + -8 Combine like terms: -24 + -8 = -32 4y = -32 Divide each side by '4'. y = -8 Simplifying y = -8
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