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Simplifying 4y + -8 + y + 35 = 7y + 30 + -5y Reorder the terms: -8 + 35 + 4y + y = 7y + 30 + -5y Combine like terms: -8 + 35 = 27 27 + 4y + y = 7y + 30 + -5y Combine like terms: 4y + y = 5y 27 + 5y = 7y + 30 + -5y Reorder the terms: 27 + 5y = 30 + 7y + -5y Combine like terms: 7y + -5y = 2y 27 + 5y = 30 + 2y Solving 27 + 5y = 30 + 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. 27 + 5y + -2y = 30 + 2y + -2y Combine like terms: 5y + -2y = 3y 27 + 3y = 30 + 2y + -2y Combine like terms: 2y + -2y = 0 27 + 3y = 30 + 0 27 + 3y = 30 Add '-27' to each side of the equation. 27 + -27 + 3y = 30 + -27 Combine like terms: 27 + -27 = 0 0 + 3y = 30 + -27 3y = 30 + -27 Combine like terms: 30 + -27 = 3 3y = 3 Divide each side by '3'. y = 1 Simplifying y = 1
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