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Simplifying 5y + 50 = 3y + 290 Reorder the terms: 50 + 5y = 3y + 290 Reorder the terms: 50 + 5y = 290 + 3y Solving 50 + 5y = 290 + 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. 50 + 5y + -3y = 290 + 3y + -3y Combine like terms: 5y + -3y = 2y 50 + 2y = 290 + 3y + -3y Combine like terms: 3y + -3y = 0 50 + 2y = 290 + 0 50 + 2y = 290 Add '-50' to each side of the equation. 50 + -50 + 2y = 290 + -50 Combine like terms: 50 + -50 = 0 0 + 2y = 290 + -50 2y = 290 + -50 Combine like terms: 290 + -50 = 240 2y = 240 Divide each side by '2'. y = 120 Simplifying y = 120
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