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Simplifying (8y + -13) = (5y + 14) Reorder the terms: (-13 + 8y) = (5y + 14) Remove parenthesis around (-13 + 8y) -13 + 8y = (5y + 14) Reorder the terms: -13 + 8y = (14 + 5y) Remove parenthesis around (14 + 5y) -13 + 8y = 14 + 5y Solving -13 + 8y = 14 + 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. -13 + 8y + -5y = 14 + 5y + -5y Combine like terms: 8y + -5y = 3y -13 + 3y = 14 + 5y + -5y Combine like terms: 5y + -5y = 0 -13 + 3y = 14 + 0 -13 + 3y = 14 Add '13' to each side of the equation. -13 + 13 + 3y = 14 + 13 Combine like terms: -13 + 13 = 0 0 + 3y = 14 + 13 3y = 14 + 13 Combine like terms: 14 + 13 = 27 3y = 27 Divide each side by '3'. y = 9 Simplifying y = 9
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