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Simplifying 2(39.5 + -0.5y) + (5y + -25) = 180 (39.5 * 2 + -0.5y * 2) + (5y + -25) = 180 (79 + -1y) + (5y + -25) = 180 Reorder the terms: 79 + -1y + (-25 + 5y) = 180 Remove parenthesis around (-25 + 5y) 79 + -1y + -25 + 5y = 180 Reorder the terms: 79 + -25 + -1y + 5y = 180 Combine like terms: 79 + -25 = 54 54 + -1y + 5y = 180 Combine like terms: -1y + 5y = 4y 54 + 4y = 180 Solving 54 + 4y = 180 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 4y = 180 + -54 Combine like terms: 54 + -54 = 0 0 + 4y = 180 + -54 4y = 180 + -54 Combine like terms: 180 + -54 = 126 4y = 126 Divide each side by '4'. y = 31.5 Simplifying y = 31.5
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