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Simplifying (5y + 4) + (3y + -9) = 11 Reorder the terms: (4 + 5y) + (3y + -9) = 11 Remove parenthesis around (4 + 5y) 4 + 5y + (3y + -9) = 11 Reorder the terms: 4 + 5y + (-9 + 3y) = 11 Remove parenthesis around (-9 + 3y) 4 + 5y + -9 + 3y = 11 Reorder the terms: 4 + -9 + 5y + 3y = 11 Combine like terms: 4 + -9 = -5 -5 + 5y + 3y = 11 Combine like terms: 5y + 3y = 8y -5 + 8y = 11 Solving -5 + 8y = 11 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 8y = 11 + 5 Combine like terms: -5 + 5 = 0 0 + 8y = 11 + 5 8y = 11 + 5 Combine like terms: 11 + 5 = 16 8y = 16 Divide each side by '8'. y = 2 Simplifying y = 2
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