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Simplifying 5y + -6 + y + 34 = 8y + 40 + -6y Reorder the terms: -6 + 34 + 5y + y = 8y + 40 + -6y Combine like terms: -6 + 34 = 28 28 + 5y + y = 8y + 40 + -6y Combine like terms: 5y + y = 6y 28 + 6y = 8y + 40 + -6y Reorder the terms: 28 + 6y = 40 + 8y + -6y Combine like terms: 8y + -6y = 2y 28 + 6y = 40 + 2y Solving 28 + 6y = 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. 28 + 6y + -2y = 40 + 2y + -2y Combine like terms: 6y + -2y = 4y 28 + 4y = 40 + 2y + -2y Combine like terms: 2y + -2y = 0 28 + 4y = 40 + 0 28 + 4y = 40 Add '-28' to each side of the equation. 28 + -28 + 4y = 40 + -28 Combine like terms: 28 + -28 = 0 0 + 4y = 40 + -28 4y = 40 + -28 Combine like terms: 40 + -28 = 12 4y = 12 Divide each side by '4'. y = 3 Simplifying y = 3
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