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Simplifying 5 + 11y + -1 = 9y + 46 + -5y Reorder the terms: 5 + -1 + 11y = 9y + 46 + -5y Combine like terms: 5 + -1 = 4 4 + 11y = 9y + 46 + -5y Reorder the terms: 4 + 11y = 46 + 9y + -5y Combine like terms: 9y + -5y = 4y 4 + 11y = 46 + 4y Solving 4 + 11y = 46 + 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. 4 + 11y + -4y = 46 + 4y + -4y Combine like terms: 11y + -4y = 7y 4 + 7y = 46 + 4y + -4y Combine like terms: 4y + -4y = 0 4 + 7y = 46 + 0 4 + 7y = 46 Add '-4' to each side of the equation. 4 + -4 + 7y = 46 + -4 Combine like terms: 4 + -4 = 0 0 + 7y = 46 + -4 7y = 46 + -4 Combine like terms: 46 + -4 = 42 7y = 42 Divide each side by '7'. y = 6 Simplifying y = 6
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