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Simplifying (2y + -5) + -8 = (8 + -3y) + 2 Reorder the terms: (-5 + 2y) + -8 = (8 + -3y) + 2 Remove parenthesis around (-5 + 2y) -5 + 2y + -8 = (8 + -3y) + 2 Reorder the terms: -5 + -8 + 2y = (8 + -3y) + 2 Combine like terms: -5 + -8 = -13 -13 + 2y = (8 + -3y) + 2 Remove parenthesis around (8 + -3y) -13 + 2y = 8 + -3y + 2 Reorder the terms: -13 + 2y = 8 + 2 + -3y Combine like terms: 8 + 2 = 10 -13 + 2y = 10 + -3y Solving -13 + 2y = 10 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -13 + 2y + 3y = 10 + -3y + 3y Combine like terms: 2y + 3y = 5y -13 + 5y = 10 + -3y + 3y Combine like terms: -3y + 3y = 0 -13 + 5y = 10 + 0 -13 + 5y = 10 Add '13' to each side of the equation. -13 + 13 + 5y = 10 + 13 Combine like terms: -13 + 13 = 0 0 + 5y = 10 + 13 5y = 10 + 13 Combine like terms: 10 + 13 = 23 5y = 23 Divide each side by '5'. y = 4.6 Simplifying y = 4.6
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