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Simplifying (8y + -33) = (5y + 9) Reorder the terms: (-33 + 8y) = (5y + 9) Remove parenthesis around (-33 + 8y) -33 + 8y = (5y + 9) Reorder the terms: -33 + 8y = (9 + 5y) Remove parenthesis around (9 + 5y) -33 + 8y = 9 + 5y Solving -33 + 8y = 9 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -33 + 8y + -5y = 9 + 5y + -5y Combine like terms: 8y + -5y = 3y -33 + 3y = 9 + 5y + -5y Combine like terms: 5y + -5y = 0 -33 + 3y = 9 + 0 -33 + 3y = 9 Add '33' to each side of the equation. -33 + 33 + 3y = 9 + 33 Combine like terms: -33 + 33 = 0 0 + 3y = 9 + 33 3y = 9 + 33 Combine like terms: 9 + 33 = 42 3y = 42 Divide each side by '3'. y = 14 Simplifying y = 14
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