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Simplifying (2.5y + -1) + (5.5y + -1) = 7y + 2 Reorder the terms: (-1 + 2.5y) + (5.5y + -1) = 7y + 2 Remove parenthesis around (-1 + 2.5y) -1 + 2.5y + (5.5y + -1) = 7y + 2 Reorder the terms: -1 + 2.5y + (-1 + 5.5y) = 7y + 2 Remove parenthesis around (-1 + 5.5y) -1 + 2.5y + -1 + 5.5y = 7y + 2 Reorder the terms: -1 + -1 + 2.5y + 5.5y = 7y + 2 Combine like terms: -1 + -1 = -2 -2 + 2.5y + 5.5y = 7y + 2 Combine like terms: 2.5y + 5.5y = 8y -2 + 8y = 7y + 2 Reorder the terms: -2 + 8y = 2 + 7y Solving -2 + 8y = 2 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -2 + 8y + -7y = 2 + 7y + -7y Combine like terms: 8y + -7y = 1y -2 + 1y = 2 + 7y + -7y Combine like terms: 7y + -7y = 0 -2 + 1y = 2 + 0 -2 + 1y = 2 Add '2' to each side of the equation. -2 + 2 + 1y = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 1y = 2 + 2 1y = 2 + 2 Combine like terms: 2 + 2 = 4 1y = 4 Divide each side by '1'. y = 4 Simplifying y = 4
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