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Simplifying 7y + 10 = 2y + 35 Reorder the terms: 10 + 7y = 2y + 35 Reorder the terms: 10 + 7y = 35 + 2y Solving 10 + 7y = 35 + 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. 10 + 7y + -2y = 35 + 2y + -2y Combine like terms: 7y + -2y = 5y 10 + 5y = 35 + 2y + -2y Combine like terms: 2y + -2y = 0 10 + 5y = 35 + 0 10 + 5y = 35 Add '-10' to each side of the equation. 10 + -10 + 5y = 35 + -10 Combine like terms: 10 + -10 = 0 0 + 5y = 35 + -10 5y = 35 + -10 Combine like terms: 35 + -10 = 25 5y = 25 Divide each side by '5'. y = 5 Simplifying y = 5
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