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Simplifying 5y + -6 + y + 46 = 6y + 40 + -2y Reorder the terms: -6 + 46 + 5y + y = 6y + 40 + -2y Combine like terms: -6 + 46 = 40 40 + 5y + y = 6y + 40 + -2y Combine like terms: 5y + y = 6y 40 + 6y = 6y + 40 + -2y Reorder the terms: 40 + 6y = 40 + 6y + -2y Combine like terms: 6y + -2y = 4y 40 + 6y = 40 + 4y Add '-40' to each side of the equation. 40 + -40 + 6y = 40 + -40 + 4y Combine like terms: 40 + -40 = 0 0 + 6y = 40 + -40 + 4y 6y = 40 + -40 + 4y Combine like terms: 40 + -40 = 0 6y = 0 + 4y 6y = 4y Solving 6y = 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 6y + -4y = 4y + -4y Combine like terms: 6y + -4y = 2y 2y = 4y + -4y Combine like terms: 4y + -4y = 0 2y = 0 Divide each side by '2'. y = 0 Simplifying y = 0
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