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Simplifying 4y + -8 + y + 42 = 7y + 40 + -4y Reorder the terms: -8 + 42 + 4y + y = 7y + 40 + -4y Combine like terms: -8 + 42 = 34 34 + 4y + y = 7y + 40 + -4y Combine like terms: 4y + y = 5y 34 + 5y = 7y + 40 + -4y Reorder the terms: 34 + 5y = 40 + 7y + -4y Combine like terms: 7y + -4y = 3y 34 + 5y = 40 + 3y Solving 34 + 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. 34 + 5y + -3y = 40 + 3y + -3y Combine like terms: 5y + -3y = 2y 34 + 2y = 40 + 3y + -3y Combine like terms: 3y + -3y = 0 34 + 2y = 40 + 0 34 + 2y = 40 Add '-34' to each side of the equation. 34 + -34 + 2y = 40 + -34 Combine like terms: 34 + -34 = 0 0 + 2y = 40 + -34 2y = 40 + -34 Combine like terms: 40 + -34 = 6 2y = 6 Divide each side by '2'. y = 3 Simplifying y = 3
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