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Simplifying 9(y + -4) + 2(y + 3) = 14 Reorder the terms: 9(-4 + y) + 2(y + 3) = 14 (-4 * 9 + y * 9) + 2(y + 3) = 14 (-36 + 9y) + 2(y + 3) = 14 Reorder the terms: -36 + 9y + 2(3 + y) = 14 -36 + 9y + (3 * 2 + y * 2) = 14 -36 + 9y + (6 + 2y) = 14 Reorder the terms: -36 + 6 + 9y + 2y = 14 Combine like terms: -36 + 6 = -30 -30 + 9y + 2y = 14 Combine like terms: 9y + 2y = 11y -30 + 11y = 14 Solving -30 + 11y = 14 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 11y = 14 + 30 Combine like terms: -30 + 30 = 0 0 + 11y = 14 + 30 11y = 14 + 30 Combine like terms: 14 + 30 = 44 11y = 44 Divide each side by '11'. y = 4 Simplifying y = 4
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