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Simplifying 2(y + 4) = 4y + -12 Reorder the terms: 2(4 + y) = 4y + -12 (4 * 2 + y * 2) = 4y + -12 (8 + 2y) = 4y + -12 Reorder the terms: 8 + 2y = -12 + 4y Solving 8 + 2y = -12 + 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. 8 + 2y + -4y = -12 + 4y + -4y Combine like terms: 2y + -4y = -2y 8 + -2y = -12 + 4y + -4y Combine like terms: 4y + -4y = 0 8 + -2y = -12 + 0 8 + -2y = -12 Add '-8' to each side of the equation. 8 + -8 + -2y = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -2y = -12 + -8 -2y = -12 + -8 Combine like terms: -12 + -8 = -20 -2y = -20 Divide each side by '-2'. y = 10 Simplifying y = 10
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