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Simplifying 5y + -7 + y + 51 = 5y + 50 + -1y Reorder the terms: -7 + 51 + 5y + y = 5y + 50 + -1y Combine like terms: -7 + 51 = 44 44 + 5y + y = 5y + 50 + -1y Combine like terms: 5y + y = 6y 44 + 6y = 5y + 50 + -1y Reorder the terms: 44 + 6y = 50 + 5y + -1y Combine like terms: 5y + -1y = 4y 44 + 6y = 50 + 4y Solving 44 + 6y = 50 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 44 + 6y + -4y = 50 + 4y + -4y Combine like terms: 6y + -4y = 2y 44 + 2y = 50 + 4y + -4y Combine like terms: 4y + -4y = 0 44 + 2y = 50 + 0 44 + 2y = 50 Add '-44' to each side of the equation. 44 + -44 + 2y = 50 + -44 Combine like terms: 44 + -44 = 0 0 + 2y = 50 + -44 2y = 50 + -44 Combine like terms: 50 + -44 = 6 2y = 6 Divide each side by '2'. y = 3 Simplifying y = 3
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