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Simplifying 14 + (2y + -9) = 3y + (7y + 13) Reorder the terms: 14 + (-9 + 2y) = 3y + (7y + 13) Remove parenthesis around (-9 + 2y) 14 + -9 + 2y = 3y + (7y + 13) Combine like terms: 14 + -9 = 5 5 + 2y = 3y + (7y + 13) Reorder the terms: 5 + 2y = 3y + (13 + 7y) Remove parenthesis around (13 + 7y) 5 + 2y = 3y + 13 + 7y Reorder the terms: 5 + 2y = 13 + 3y + 7y Combine like terms: 3y + 7y = 10y 5 + 2y = 13 + 10y Solving 5 + 2y = 13 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 5 + 2y + -10y = 13 + 10y + -10y Combine like terms: 2y + -10y = -8y 5 + -8y = 13 + 10y + -10y Combine like terms: 10y + -10y = 0 5 + -8y = 13 + 0 5 + -8y = 13 Add '-5' to each side of the equation. 5 + -5 + -8y = 13 + -5 Combine like terms: 5 + -5 = 0 0 + -8y = 13 + -5 -8y = 13 + -5 Combine like terms: 13 + -5 = 8 -8y = 8 Divide each side by '-8'. y = -1 Simplifying y = -1
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