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Simplifying 125 + 117 + (y + 6) + y + (y + 44) = 180(n + -2) Reorder the terms: 125 + 117 + (6 + y) + y + (y + 44) = 180(n + -2) Remove parenthesis around (6 + y) 125 + 117 + 6 + y + y + (y + 44) = 180(n + -2) Reorder the terms: 125 + 117 + 6 + y + y + (44 + y) = 180(n + -2) Remove parenthesis around (44 + y) 125 + 117 + 6 + y + y + 44 + y = 180(n + -2) Reorder the terms: 125 + 117 + 6 + 44 + y + y + y = 180(n + -2) Combine like terms: 125 + 117 = 242 242 + 6 + 44 + y + y + y = 180(n + -2) Combine like terms: 242 + 6 = 248 248 + 44 + y + y + y = 180(n + -2) Combine like terms: 248 + 44 = 292 292 + y + y + y = 180(n + -2) Combine like terms: y + y = 2y 292 + 2y + y = 180(n + -2) Combine like terms: 2y + y = 3y 292 + 3y = 180(n + -2) Reorder the terms: 292 + 3y = 180(-2 + n) 292 + 3y = (-2 * 180 + n * 180) 292 + 3y = (-360 + 180n) Solving 292 + 3y = -360 + 180n Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-292' to each side of the equation. 292 + -292 + 3y = -360 + -292 + 180n Combine like terms: 292 + -292 = 0 0 + 3y = -360 + -292 + 180n 3y = -360 + -292 + 180n Combine like terms: -360 + -292 = -652 3y = -652 + 180n Divide each side by '3'. y = -217.3333333 + 60n Simplifying y = -217.3333333 + 60n
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