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Simplifying 9(y + -4) + 5(y + 2) = 16 Reorder the terms: 9(-4 + y) + 5(y + 2) = 16 (-4 * 9 + y * 9) + 5(y + 2) = 16 (-36 + 9y) + 5(y + 2) = 16 Reorder the terms: -36 + 9y + 5(2 + y) = 16 -36 + 9y + (2 * 5 + y * 5) = 16 -36 + 9y + (10 + 5y) = 16 Reorder the terms: -36 + 10 + 9y + 5y = 16 Combine like terms: -36 + 10 = -26 -26 + 9y + 5y = 16 Combine like terms: 9y + 5y = 14y -26 + 14y = 16 Solving -26 + 14y = 16 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 14y = 16 + 26 Combine like terms: -26 + 26 = 0 0 + 14y = 16 + 26 14y = 16 + 26 Combine like terms: 16 + 26 = 42 14y = 42 Divide each side by '14'. y = 3 Simplifying y = 3
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