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