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Simplifying 9(y + -3) + 4(y + 2) = 72 Reorder the terms: 9(-3 + y) + 4(y + 2) = 72 (-3 * 9 + y * 9) + 4(y + 2) = 72 (-27 + 9y) + 4(y + 2) = 72 Reorder the terms: -27 + 9y + 4(2 + y) = 72 -27 + 9y + (2 * 4 + y * 4) = 72 -27 + 9y + (8 + 4y) = 72 Reorder the terms: -27 + 8 + 9y + 4y = 72 Combine like terms: -27 + 8 = -19 -19 + 9y + 4y = 72 Combine like terms: 9y + 4y = 13y -19 + 13y = 72 Solving -19 + 13y = 72 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 13y = 72 + 19 Combine like terms: -19 + 19 = 0 0 + 13y = 72 + 19 13y = 72 + 19 Combine like terms: 72 + 19 = 91 13y = 91 Divide each side by '13'. y = 7 Simplifying y = 7
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