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Simplifying (5y + -2) + -2 = (2y + 1) + -5 Reorder the terms: (-2 + 5y) + -2 = (2y + 1) + -5 Remove parenthesis around (-2 + 5y) -2 + 5y + -2 = (2y + 1) + -5 Reorder the terms: -2 + -2 + 5y = (2y + 1) + -5 Combine like terms: -2 + -2 = -4 -4 + 5y = (2y + 1) + -5 Reorder the terms: -4 + 5y = (1 + 2y) + -5 Remove parenthesis around (1 + 2y) -4 + 5y = 1 + 2y + -5 Reorder the terms: -4 + 5y = 1 + -5 + 2y Combine like terms: 1 + -5 = -4 -4 + 5y = -4 + 2y Add '4' to each side of the equation. -4 + 4 + 5y = -4 + 4 + 2y Combine like terms: -4 + 4 = 0 0 + 5y = -4 + 4 + 2y 5y = -4 + 4 + 2y Combine like terms: -4 + 4 = 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 = 3y 3y = 2y + -2y Combine like terms: 2y + -2y = 0 3y = 0 Divide each side by '3'. y = 0 Simplifying y = 0
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