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Simplifying 7y + 13 = 2y + 38 Reorder the terms: 13 + 7y = 2y + 38 Reorder the terms: 13 + 7y = 38 + 2y Solving 13 + 7y = 38 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 13 + 7y + -2y = 38 + 2y + -2y Combine like terms: 7y + -2y = 5y 13 + 5y = 38 + 2y + -2y Combine like terms: 2y + -2y = 0 13 + 5y = 38 + 0 13 + 5y = 38 Add '-13' to each side of the equation. 13 + -13 + 5y = 38 + -13 Combine like terms: 13 + -13 = 0 0 + 5y = 38 + -13 5y = 38 + -13 Combine like terms: 38 + -13 = 25 5y = 25 Divide each side by '5'. y = 5 Simplifying y = 5
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