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