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Simplifying 7y + (5y + -9) + -6 = 21 Reorder the terms: 7y + (-9 + 5y) + -6 = 21 Remove parenthesis around (-9 + 5y) 7y + -9 + 5y + -6 = 21 Reorder the terms: -9 + -6 + 7y + 5y = 21 Combine like terms: -9 + -6 = -15 -15 + 7y + 5y = 21 Combine like terms: 7y + 5y = 12y -15 + 12y = 21 Solving -15 + 12y = 21 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 + 12y = 21 + 15 Combine like terms: -15 + 15 = 0 0 + 12y = 21 + 15 12y = 21 + 15 Combine like terms: 21 + 15 = 36 12y = 36 Divide each side by '12'. y = 3 Simplifying y = 3
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