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Simplifying 7y + 3 = 5y + 13 Reorder the terms: 3 + 7y = 5y + 13 Reorder the terms: 3 + 7y = 13 + 5y Solving 3 + 7y = 13 + 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. 3 + 7y + -5y = 13 + 5y + -5y Combine like terms: 7y + -5y = 2y 3 + 2y = 13 + 5y + -5y Combine like terms: 5y + -5y = 0 3 + 2y = 13 + 0 3 + 2y = 13 Add '-3' to each side of the equation. 3 + -3 + 2y = 13 + -3 Combine like terms: 3 + -3 = 0 0 + 2y = 13 + -3 2y = 13 + -3 Combine like terms: 13 + -3 = 10 2y = 10 Divide each side by '2'. y = 5 Simplifying y = 5
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