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Simplifying 3y + -2 + y + 50 = 8y + 50 + -6y Reorder the terms: -2 + 50 + 3y + y = 8y + 50 + -6y Combine like terms: -2 + 50 = 48 48 + 3y + y = 8y + 50 + -6y Combine like terms: 3y + y = 4y 48 + 4y = 8y + 50 + -6y Reorder the terms: 48 + 4y = 50 + 8y + -6y Combine like terms: 8y + -6y = 2y 48 + 4y = 50 + 2y Solving 48 + 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. 48 + 4y + -2y = 50 + 2y + -2y Combine like terms: 4y + -2y = 2y 48 + 2y = 50 + 2y + -2y Combine like terms: 2y + -2y = 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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