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Simplifying 4(y + -6) + 9(y + 1) = 11 Reorder the terms: 4(-6 + y) + 9(y + 1) = 11 (-6 * 4 + y * 4) + 9(y + 1) = 11 (-24 + 4y) + 9(y + 1) = 11 Reorder the terms: -24 + 4y + 9(1 + y) = 11 -24 + 4y + (1 * 9 + y * 9) = 11 -24 + 4y + (9 + 9y) = 11 Reorder the terms: -24 + 9 + 4y + 9y = 11 Combine like terms: -24 + 9 = -15 -15 + 4y + 9y = 11 Combine like terms: 4y + 9y = 13y -15 + 13y = 11 Solving -15 + 13y = 11 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 13y = 11 + 15 Combine like terms: -15 + 15 = 0 0 + 13y = 11 + 15 13y = 11 + 15 Combine like terms: 11 + 15 = 26 13y = 26 Divide each side by '13'. y = 2 Simplifying y = 2
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