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Simplifying 3y + -4 + y + 34 = 7y + 30 + -5y Reorder the terms: -4 + 34 + 3y + y = 7y + 30 + -5y Combine like terms: -4 + 34 = 30 30 + 3y + y = 7y + 30 + -5y Combine like terms: 3y + y = 4y 30 + 4y = 7y + 30 + -5y Reorder the terms: 30 + 4y = 30 + 7y + -5y Combine like terms: 7y + -5y = 2y 30 + 4y = 30 + 2y Add '-30' to each side of the equation. 30 + -30 + 4y = 30 + -30 + 2y Combine like terms: 30 + -30 = 0 0 + 4y = 30 + -30 + 2y 4y = 30 + -30 + 2y Combine like terms: 30 + -30 = 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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