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Simplifying 4y + -2 + 46 = 8y + 50 + -5y Reorder the terms: -2 + 46 + 4y = 8y + 50 + -5y Combine like terms: -2 + 46 = 44 44 + 4y = 8y + 50 + -5y Reorder the terms: 44 + 4y = 50 + 8y + -5y Combine like terms: 8y + -5y = 3y 44 + 4y = 50 + 3y Solving 44 + 4y = 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. 44 + 4y + -3y = 50 + 3y + -3y Combine like terms: 4y + -3y = 1y 44 + 1y = 50 + 3y + -3y Combine like terms: 3y + -3y = 0 44 + 1y = 50 + 0 44 + 1y = 50 Add '-44' to each side of the equation. 44 + -44 + 1y = 50 + -44 Combine like terms: 44 + -44 = 0 0 + 1y = 50 + -44 1y = 50 + -44 Combine like terms: 50 + -44 = 6 1y = 6 Divide each side by '1'. y = 6 Simplifying y = 6
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