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Simplifying 3y + -6 + y + 52 = 6y + 50 + -4y Reorder the terms: -6 + 52 + 3y + y = 6y + 50 + -4y Combine like terms: -6 + 52 = 46 46 + 3y + y = 6y + 50 + -4y Combine like terms: 3y + y = 4y 46 + 4y = 6y + 50 + -4y Reorder the terms: 46 + 4y = 50 + 6y + -4y Combine like terms: 6y + -4y = 2y 46 + 4y = 50 + 2y Solving 46 + 4y = 50 + 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. 46 + 4y + -2y = 50 + 2y + -2y Combine like terms: 4y + -2y = 2y 46 + 2y = 50 + 2y + -2y Combine like terms: 2y + -2y = 0 46 + 2y = 50 + 0 46 + 2y = 50 Add '-46' to each side of the equation. 46 + -46 + 2y = 50 + -46 Combine like terms: 46 + -46 = 0 0 + 2y = 50 + -46 2y = 50 + -46 Combine like terms: 50 + -46 = 4 2y = 4 Divide each side by '2'. y = 2 Simplifying y = 2
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