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Simplifying 5y + -6 + y + 34 = 5 + 7y + 35 + -4y Reorder the terms: -6 + 34 + 5y + y = 5 + 7y + 35 + -4y Combine like terms: -6 + 34 = 28 28 + 5y + y = 5 + 7y + 35 + -4y Combine like terms: 5y + y = 6y 28 + 6y = 5 + 7y + 35 + -4y Reorder the terms: 28 + 6y = 5 + 35 + 7y + -4y Combine like terms: 5 + 35 = 40 28 + 6y = 40 + 7y + -4y Combine like terms: 7y + -4y = 3y 28 + 6y = 40 + 3y Solving 28 + 6y = 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. 28 + 6y + -3y = 40 + 3y + -3y Combine like terms: 6y + -3y = 3y 28 + 3y = 40 + 3y + -3y Combine like terms: 3y + -3y = 0 28 + 3y = 40 + 0 28 + 3y = 40 Add '-28' to each side of the equation. 28 + -28 + 3y = 40 + -28 Combine like terms: 28 + -28 = 0 0 + 3y = 40 + -28 3y = 40 + -28 Combine like terms: 40 + -28 = 12 3y = 12 Divide each side by '3'. y = 4 Simplifying y = 4
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