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Simplifying -4(y + 6) = -8y + 12 Reorder the terms: -4(6 + y) = -8y + 12 (6 * -4 + y * -4) = -8y + 12 (-24 + -4y) = -8y + 12 Reorder the terms: -24 + -4y = 12 + -8y Solving -24 + -4y = 12 + -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. -24 + -4y + 8y = 12 + -8y + 8y Combine like terms: -4y + 8y = 4y -24 + 4y = 12 + -8y + 8y Combine like terms: -8y + 8y = 0 -24 + 4y = 12 + 0 -24 + 4y = 12 Add '24' to each side of the equation. -24 + 24 + 4y = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 4y = 12 + 24 4y = 12 + 24 Combine like terms: 12 + 24 = 36 4y = 36 Divide each side by '4'. y = 9 Simplifying y = 9
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