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Simplifying 12 = 2(y + 4) + -4y Reorder the terms: 12 = 2(4 + y) + -4y 12 = (4 * 2 + y * 2) + -4y 12 = (8 + 2y) + -4y Combine like terms: 2y + -4y = -2y 12 = 8 + -2y Solving 12 = 8 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 12 + 2y = 8 + -2y + 2y Combine like terms: -2y + 2y = 0 12 + 2y = 8 + 0 12 + 2y = 8 Add '-12' to each side of the equation. 12 + -12 + 2y = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 2y = 8 + -12 2y = 8 + -12 Combine like terms: 8 + -12 = -4 2y = -4 Divide each side by '2'. y = -2 Simplifying y = -2
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