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Simplifying (7y + -10) + (2y + -5) = 12 Reorder the terms: (-10 + 7y) + (2y + -5) = 12 Remove parenthesis around (-10 + 7y) -10 + 7y + (2y + -5) = 12 Reorder the terms: -10 + 7y + (-5 + 2y) = 12 Remove parenthesis around (-5 + 2y) -10 + 7y + -5 + 2y = 12 Reorder the terms: -10 + -5 + 7y + 2y = 12 Combine like terms: -10 + -5 = -15 -15 + 7y + 2y = 12 Combine like terms: 7y + 2y = 9y -15 + 9y = 12 Solving -15 + 9y = 12 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 + 9y = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 9y = 12 + 15 9y = 12 + 15 Combine like terms: 12 + 15 = 27 9y = 27 Divide each side by '9'. y = 3 Simplifying y = 3
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