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Simplifying 4y + -7 + y + 51 = 6y + 50 + -4y Reorder the terms: -7 + 51 + 4y + y = 6y + 50 + -4y Combine like terms: -7 + 51 = 44 44 + 4y + y = 6y + 50 + -4y Combine like terms: 4y + y = 5y 44 + 5y = 6y + 50 + -4y Reorder the terms: 44 + 5y = 50 + 6y + -4y Combine like terms: 6y + -4y = 2y 44 + 5y = 50 + 2y Solving 44 + 5y = 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 + 5y + -2y = 50 + 2y + -2y Combine like terms: 5y + -2y = 3y 44 + 3y = 50 + 2y + -2y Combine like terms: 2y + -2y = 0 44 + 3y = 50 + 0 44 + 3y = 50 Add '-44' to each side of the equation. 44 + -44 + 3y = 50 + -44 Combine like terms: 44 + -44 = 0 0 + 3y = 50 + -44 3y = 50 + -44 Combine like terms: 50 + -44 = 6 3y = 6 Divide each side by '3'. y = 2 Simplifying y = 2
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