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Simplifying 5y + -3 + y + 51 = 6y + 50 + -2y Reorder the terms: -3 + 51 + 5y + y = 6y + 50 + -2y Combine like terms: -3 + 51 = 48 48 + 5y + y = 6y + 50 + -2y Combine like terms: 5y + y = 6y 48 + 6y = 6y + 50 + -2y Reorder the terms: 48 + 6y = 50 + 6y + -2y Combine like terms: 6y + -2y = 4y 48 + 6y = 50 + 4y Solving 48 + 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. 48 + 6y + -4y = 50 + 4y + -4y Combine like terms: 6y + -4y = 2y 48 + 2y = 50 + 4y + -4y Combine like terms: 4y + -4y = 0 48 + 2y = 50 + 0 48 + 2y = 50 Add '-48' to each side of the equation. 48 + -48 + 2y = 50 + -48 Combine like terms: 48 + -48 = 0 0 + 2y = 50 + -48 2y = 50 + -48 Combine like terms: 50 + -48 = 2 2y = 2 Divide each side by '2'. y = 1 Simplifying y = 1
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