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Simplifying -4y + 12 = -4(2y + 6) Reorder the terms: 12 + -4y = -4(2y + 6) Reorder the terms: 12 + -4y = -4(6 + 2y) 12 + -4y = (6 * -4 + 2y * -4) 12 + -4y = (-24 + -8y) Solving 12 + -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. 12 + -4y + 8y = -24 + -8y + 8y Combine like terms: -4y + 8y = 4y 12 + 4y = -24 + -8y + 8y Combine like terms: -8y + 8y = 0 12 + 4y = -24 + 0 12 + 4y = -24 Add '-12' to each side of the equation. 12 + -12 + 4y = -24 + -12 Combine like terms: 12 + -12 = 0 0 + 4y = -24 + -12 4y = -24 + -12 Combine like terms: -24 + -12 = -36 4y = -36 Divide each side by '4'. y = -9 Simplifying y = -9
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