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Simplifying 4y + -10 + y + 46 = 7y + 40 + -4y Reorder the terms: -10 + 46 + 4y + y = 7y + 40 + -4y Combine like terms: -10 + 46 = 36 36 + 4y + y = 7y + 40 + -4y Combine like terms: 4y + y = 5y 36 + 5y = 7y + 40 + -4y Reorder the terms: 36 + 5y = 40 + 7y + -4y Combine like terms: 7y + -4y = 3y 36 + 5y = 40 + 3y Solving 36 + 5y = 40 + 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. 36 + 5y + -3y = 40 + 3y + -3y Combine like terms: 5y + -3y = 2y 36 + 2y = 40 + 3y + -3y Combine like terms: 3y + -3y = 0 36 + 2y = 40 + 0 36 + 2y = 40 Add '-36' to each side of the equation. 36 + -36 + 2y = 40 + -36 Combine like terms: 36 + -36 = 0 0 + 2y = 40 + -36 2y = 40 + -36 Combine like terms: 40 + -36 = 4 2y = 4 Divide each side by '2'. y = 2 Simplifying y = 2
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