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Simplifying (5y + 2) + -1 = (1 + -2y) Reorder the terms: (2 + 5y) + -1 = (1 + -2y) Remove parenthesis around (2 + 5y) 2 + 5y + -1 = (1 + -2y) Reorder the terms: 2 + -1 + 5y = (1 + -2y) Combine like terms: 2 + -1 = 1 1 + 5y = (1 + -2y) Remove parenthesis around (1 + -2y) 1 + 5y = 1 + -2y Add '-1' to each side of the equation. 1 + -1 + 5y = 1 + -1 + -2y Combine like terms: 1 + -1 = 0 0 + 5y = 1 + -1 + -2y 5y = 1 + -1 + -2y Combine like terms: 1 + -1 = 0 5y = 0 + -2y 5y = -2y Solving 5y = -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 5y + 2y = -2y + 2y Combine like terms: 5y + 2y = 7y 7y = -2y + 2y Combine like terms: -2y + 2y = 0 7y = 0 Divide each side by '7'. y = 0 Simplifying y = 0
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