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Simplifying (6y + -13) = (32 + -3y) Reorder the terms: (-13 + 6y) = (32 + -3y) Remove parenthesis around (-13 + 6y) -13 + 6y = (32 + -3y) Remove parenthesis around (32 + -3y) -13 + 6y = 32 + -3y Solving -13 + 6y = 32 + -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 + 6y + 3y = 32 + -3y + 3y Combine like terms: 6y + 3y = 9y -13 + 9y = 32 + -3y + 3y Combine like terms: -3y + 3y = 0 -13 + 9y = 32 + 0 -13 + 9y = 32 Add '13' to each side of the equation. -13 + 13 + 9y = 32 + 13 Combine like terms: -13 + 13 = 0 0 + 9y = 32 + 13 9y = 32 + 13 Combine like terms: 32 + 13 = 45 9y = 45 Divide each side by '9'. y = 5 Simplifying y = 5
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