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Simplifying -2y + 6(5y + 2) = 4 + -4(4 + -1y) Reorder the terms: -2y + 6(2 + 5y) = 4 + -4(4 + -1y) -2y + (2 * 6 + 5y * 6) = 4 + -4(4 + -1y) -2y + (12 + 30y) = 4 + -4(4 + -1y) Reorder the terms: 12 + -2y + 30y = 4 + -4(4 + -1y) Combine like terms: -2y + 30y = 28y 12 + 28y = 4 + -4(4 + -1y) 12 + 28y = 4 + (4 * -4 + -1y * -4) 12 + 28y = 4 + (-16 + 4y) Combine like terms: 4 + -16 = -12 12 + 28y = -12 + 4y Solving 12 + 28y = -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. 12 + 28y + -4y = -12 + 4y + -4y Combine like terms: 28y + -4y = 24y 12 + 24y = -12 + 4y + -4y Combine like terms: 4y + -4y = 0 12 + 24y = -12 + 0 12 + 24y = -12 Add '-12' to each side of the equation. 12 + -12 + 24y = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 24y = -12 + -12 24y = -12 + -12 Combine like terms: -12 + -12 = -24 24y = -24 Divide each side by '24'. y = -1 Simplifying y = -1
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