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Simplifying (2y + 7) + (3y + -17) = 180 Reorder the terms: (7 + 2y) + (3y + -17) = 180 Remove parenthesis around (7 + 2y) 7 + 2y + (3y + -17) = 180 Reorder the terms: 7 + 2y + (-17 + 3y) = 180 Remove parenthesis around (-17 + 3y) 7 + 2y + -17 + 3y = 180 Reorder the terms: 7 + -17 + 2y + 3y = 180 Combine like terms: 7 + -17 = -10 -10 + 2y + 3y = 180 Combine like terms: 2y + 3y = 5y -10 + 5y = 180 Solving -10 + 5y = 180 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 5y = 180 + 10 Combine like terms: -10 + 10 = 0 0 + 5y = 180 + 10 5y = 180 + 10 Combine like terms: 180 + 10 = 190 5y = 190 Divide each side by '5'. y = 38 Simplifying y = 38
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