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Simplifying 3y + 14 + (2y + -7) = 7y + (9 + -4y) Reorder the terms: 3y + 14 + (-7 + 2y) = 7y + (9 + -4y) Remove parenthesis around (-7 + 2y) 3y + 14 + -7 + 2y = 7y + (9 + -4y) Reorder the terms: 14 + -7 + 3y + 2y = 7y + (9 + -4y) Combine like terms: 14 + -7 = 7 7 + 3y + 2y = 7y + (9 + -4y) Combine like terms: 3y + 2y = 5y 7 + 5y = 7y + (9 + -4y) Remove parenthesis around (9 + -4y) 7 + 5y = 7y + 9 + -4y Reorder the terms: 7 + 5y = 9 + 7y + -4y Combine like terms: 7y + -4y = 3y 7 + 5y = 9 + 3y Solving 7 + 5y = 9 + 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. 7 + 5y + -3y = 9 + 3y + -3y Combine like terms: 5y + -3y = 2y 7 + 2y = 9 + 3y + -3y Combine like terms: 3y + -3y = 0 7 + 2y = 9 + 0 7 + 2y = 9 Add '-7' to each side of the equation. 7 + -7 + 2y = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 2y = 9 + -7 2y = 9 + -7 Combine like terms: 9 + -7 = 2 2y = 2 Divide each side by '2'. y = 1 Simplifying y = 1

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