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Simplifying 28(y + 2) = 4(6y + 7) Reorder the terms: 28(2 + y) = 4(6y + 7) (2 * 28 + y * 28) = 4(6y + 7) (56 + 28y) = 4(6y + 7) Reorder the terms: 56 + 28y = 4(7 + 6y) 56 + 28y = (7 * 4 + 6y * 4) 56 + 28y = (28 + 24y) Solving 56 + 28y = 28 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. 56 + 28y + -24y = 28 + 24y + -24y Combine like terms: 28y + -24y = 4y 56 + 4y = 28 + 24y + -24y Combine like terms: 24y + -24y = 0 56 + 4y = 28 + 0 56 + 4y = 28 Add '-56' to each side of the equation. 56 + -56 + 4y = 28 + -56 Combine like terms: 56 + -56 = 0 0 + 4y = 28 + -56 4y = 28 + -56 Combine like terms: 28 + -56 = -28 4y = -28 Divide each side by '4'. y = -7 Simplifying y = -7
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