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Simplifying 5y + -10 + y + 51 = 5y + 50 + -2y Reorder the terms: -10 + 51 + 5y + y = 5y + 50 + -2y Combine like terms: -10 + 51 = 41 41 + 5y + y = 5y + 50 + -2y Combine like terms: 5y + y = 6y 41 + 6y = 5y + 50 + -2y Reorder the terms: 41 + 6y = 50 + 5y + -2y Combine like terms: 5y + -2y = 3y 41 + 6y = 50 + 3y Solving 41 + 6y = 50 + 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. 41 + 6y + -3y = 50 + 3y + -3y Combine like terms: 6y + -3y = 3y 41 + 3y = 50 + 3y + -3y Combine like terms: 3y + -3y = 0 41 + 3y = 50 + 0 41 + 3y = 50 Add '-41' to each side of the equation. 41 + -41 + 3y = 50 + -41 Combine like terms: 41 + -41 = 0 0 + 3y = 50 + -41 3y = 50 + -41 Combine like terms: 50 + -41 = 9 3y = 9 Divide each side by '3'. y = 3 Simplifying y = 3
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