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Simplifying 7(y + -4) + 2(y + 1) = 28 Reorder the terms: 7(-4 + y) + 2(y + 1) = 28 (-4 * 7 + y * 7) + 2(y + 1) = 28 (-28 + 7y) + 2(y + 1) = 28 Reorder the terms: -28 + 7y + 2(1 + y) = 28 -28 + 7y + (1 * 2 + y * 2) = 28 -28 + 7y + (2 + 2y) = 28 Reorder the terms: -28 + 2 + 7y + 2y = 28 Combine like terms: -28 + 2 = -26 -26 + 7y + 2y = 28 Combine like terms: 7y + 2y = 9y -26 + 9y = 28 Solving -26 + 9y = 28 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 9y = 28 + 26 Combine like terms: -26 + 26 = 0 0 + 9y = 28 + 26 9y = 28 + 26 Combine like terms: 28 + 26 = 54 9y = 54 Divide each side by '9'. y = 6 Simplifying y = 6
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