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Simplifying (5y + -2) = (31 + -6y) Reorder the terms: (-2 + 5y) = (31 + -6y) Remove parenthesis around (-2 + 5y) -2 + 5y = (31 + -6y) Remove parenthesis around (31 + -6y) -2 + 5y = 31 + -6y Solving -2 + 5y = 31 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -2 + 5y + 6y = 31 + -6y + 6y Combine like terms: 5y + 6y = 11y -2 + 11y = 31 + -6y + 6y Combine like terms: -6y + 6y = 0 -2 + 11y = 31 + 0 -2 + 11y = 31 Add '2' to each side of the equation. -2 + 2 + 11y = 31 + 2 Combine like terms: -2 + 2 = 0 0 + 11y = 31 + 2 11y = 31 + 2 Combine like terms: 31 + 2 = 33 11y = 33 Divide each side by '11'. y = 3 Simplifying y = 3
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