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Simplifying -7(4y + -3) = 2(1 + -2y) + 7 Reorder the terms: -7(-3 + 4y) = 2(1 + -2y) + 7 (-3 * -7 + 4y * -7) = 2(1 + -2y) + 7 (21 + -28y) = 2(1 + -2y) + 7 21 + -28y = (1 * 2 + -2y * 2) + 7 21 + -28y = (2 + -4y) + 7 Reorder the terms: 21 + -28y = 2 + 7 + -4y Combine like terms: 2 + 7 = 9 21 + -28y = 9 + -4y Solving 21 + -28y = 9 + -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. 21 + -28y + 4y = 9 + -4y + 4y Combine like terms: -28y + 4y = -24y 21 + -24y = 9 + -4y + 4y Combine like terms: -4y + 4y = 0 21 + -24y = 9 + 0 21 + -24y = 9 Add '-21' to each side of the equation. 21 + -21 + -24y = 9 + -21 Combine like terms: 21 + -21 = 0 0 + -24y = 9 + -21 -24y = 9 + -21 Combine like terms: 9 + -21 = -12 -24y = -12 Divide each side by '-24'. y = 0.5 Simplifying y = 0.5
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