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Simplifying (5y + -2) + (7 + -3y) = 6 Reorder the terms: (-2 + 5y) + (7 + -3y) = 6 Remove parenthesis around (-2 + 5y) -2 + 5y + (7 + -3y) = 6 Remove parenthesis around (7 + -3y) -2 + 5y + 7 + -3y = 6 Reorder the terms: -2 + 7 + 5y + -3y = 6 Combine like terms: -2 + 7 = 5 5 + 5y + -3y = 6 Combine like terms: 5y + -3y = 2y 5 + 2y = 6 Solving 5 + 2y = 6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2y = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 2y = 6 + -5 2y = 6 + -5 Combine like terms: 6 + -5 = 1 2y = 1 Divide each side by '2'. y = 0.5 Simplifying y = 0.5
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