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