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Simplifying 27 + (3y + 5) + (2y + -7) = 180 Reorder the terms: 27 + (5 + 3y) + (2y + -7) = 180 Remove parenthesis around (5 + 3y) 27 + 5 + 3y + (2y + -7) = 180 Reorder the terms: 27 + 5 + 3y + (-7 + 2y) = 180 Remove parenthesis around (-7 + 2y) 27 + 5 + 3y + -7 + 2y = 180 Reorder the terms: 27 + 5 + -7 + 3y + 2y = 180 Combine like terms: 27 + 5 = 32 32 + -7 + 3y + 2y = 180 Combine like terms: 32 + -7 = 25 25 + 3y + 2y = 180 Combine like terms: 3y + 2y = 5y 25 + 5y = 180 Solving 25 + 5y = 180 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 5y = 180 + -25 Combine like terms: 25 + -25 = 0 0 + 5y = 180 + -25 5y = 180 + -25 Combine like terms: 180 + -25 = 155 5y = 155 Divide each side by '5'. y = 31 Simplifying y = 31
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