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Simplifying 9(y + -6) + 4(y + 1) = 67 Reorder the terms: 9(-6 + y) + 4(y + 1) = 67 (-6 * 9 + y * 9) + 4(y + 1) = 67 (-54 + 9y) + 4(y + 1) = 67 Reorder the terms: -54 + 9y + 4(1 + y) = 67 -54 + 9y + (1 * 4 + y * 4) = 67 -54 + 9y + (4 + 4y) = 67 Reorder the terms: -54 + 4 + 9y + 4y = 67 Combine like terms: -54 + 4 = -50 -50 + 9y + 4y = 67 Combine like terms: 9y + 4y = 13y -50 + 13y = 67 Solving -50 + 13y = 67 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 13y = 67 + 50 Combine like terms: -50 + 50 = 0 0 + 13y = 67 + 50 13y = 67 + 50 Combine like terms: 67 + 50 = 117 13y = 117 Divide each side by '13'. y = 9 Simplifying y = 9
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