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Simplifying -12 = 4(y + 4) + -8y Reorder the terms: -12 = 4(4 + y) + -8y -12 = (4 * 4 + y * 4) + -8y -12 = (16 + 4y) + -8y Combine like terms: 4y + -8y = -4y -12 = 16 + -4y Solving -12 = 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. -12 + 4y = 16 + -4y + 4y Combine like terms: -4y + 4y = 0 -12 + 4y = 16 + 0 -12 + 4y = 16 Add '12' to each side of the equation. -12 + 12 + 4y = 16 + 12 Combine like terms: -12 + 12 = 0 0 + 4y = 16 + 12 4y = 16 + 12 Combine like terms: 16 + 12 = 28 4y = 28 Divide each side by '4'. y = 7 Simplifying y = 7
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