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Simplifying 4y + -9 + y + 49 = 7y + 40 + 4y Reorder the terms: -9 + 49 + 4y + y = 7y + 40 + 4y Combine like terms: -9 + 49 = 40 40 + 4y + y = 7y + 40 + 4y Combine like terms: 4y + y = 5y 40 + 5y = 7y + 40 + 4y Reorder the terms: 40 + 5y = 40 + 7y + 4y Combine like terms: 7y + 4y = 11y 40 + 5y = 40 + 11y Add '-40' to each side of the equation. 40 + -40 + 5y = 40 + -40 + 11y Combine like terms: 40 + -40 = 0 0 + 5y = 40 + -40 + 11y 5y = 40 + -40 + 11y Combine like terms: 40 + -40 = 0 5y = 0 + 11y 5y = 11y Solving 5y = 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. 5y + -11y = 11y + -11y Combine like terms: 5y + -11y = -6y -6y = 11y + -11y Combine like terms: 11y + -11y = 0 -6y = 0 Divide each side by '-6'. y = 0 Simplifying y = 0
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