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Simplifying -4(y + -1) = -8y + 12 Reorder the terms: -4(-1 + y) = -8y + 12 (-1 * -4 + y * -4) = -8y + 12 (4 + -4y) = -8y + 12 Reorder the terms: 4 + -4y = 12 + -8y Solving 4 + -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. 4 + -4y + 8y = 12 + -8y + 8y Combine like terms: -4y + 8y = 4y 4 + 4y = 12 + -8y + 8y Combine like terms: -8y + 8y = 0 4 + 4y = 12 + 0 4 + 4y = 12 Add '-4' to each side of the equation. 4 + -4 + 4y = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 4y = 12 + -4 4y = 12 + -4 Combine like terms: 12 + -4 = 8 4y = 8 Divide each side by '4'. y = 2 Simplifying y = 2
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