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Simplifying 9(y + -4) + 4(y + 2) = 24 Reorder the terms: 9(-4 + y) + 4(y + 2) = 24 (-4 * 9 + y * 9) + 4(y + 2) = 24 (-36 + 9y) + 4(y + 2) = 24 Reorder the terms: -36 + 9y + 4(2 + y) = 24 -36 + 9y + (2 * 4 + y * 4) = 24 -36 + 9y + (8 + 4y) = 24 Reorder the terms: -36 + 8 + 9y + 4y = 24 Combine like terms: -36 + 8 = -28 -28 + 9y + 4y = 24 Combine like terms: 9y + 4y = 13y -28 + 13y = 24 Solving -28 + 13y = 24 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 13y = 24 + 28 Combine like terms: -28 + 28 = 0 0 + 13y = 24 + 28 13y = 24 + 28 Combine like terms: 24 + 28 = 52 13y = 52 Divide each side by '13'. y = 4 Simplifying y = 4
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