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Simplifying 3y + -7 + y + 51 = 7y + 50 + -5y Reorder the terms: -7 + 51 + 3y + y = 7y + 50 + -5y Combine like terms: -7 + 51 = 44 44 + 3y + y = 7y + 50 + -5y Combine like terms: 3y + y = 4y 44 + 4y = 7y + 50 + -5y Reorder the terms: 44 + 4y = 50 + 7y + -5y Combine like terms: 7y + -5y = 2y 44 + 4y = 50 + 2y Solving 44 + 4y = 50 + 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. 44 + 4y + -2y = 50 + 2y + -2y Combine like terms: 4y + -2y = 2y 44 + 2y = 50 + 2y + -2y Combine like terms: 2y + -2y = 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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