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Simplifying 5y + -4 + y + 41 = 7Y + 40 + -4y Reorder the terms: -4 + 41 + 5y + y = 7Y + 40 + -4y Combine like terms: -4 + 41 = 37 37 + 5y + y = 7Y + 40 + -4y Combine like terms: 5y + y = 6y 37 + 6y = 7Y + 40 + -4y Reorder the terms: 37 + 6y = 40 + 7Y + -4y Solving 37 + 6y = 40 + 7Y + -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. 37 + 6y + 4y = 40 + 7Y + -4y + 4y Combine like terms: 6y + 4y = 10y 37 + 10y = 40 + 7Y + -4y + 4y Combine like terms: -4y + 4y = 0 37 + 10y = 40 + 7Y + 0 37 + 10y = 40 + 7Y Add '-37' to each side of the equation. 37 + -37 + 10y = 40 + -37 + 7Y Combine like terms: 37 + -37 = 0 0 + 10y = 40 + -37 + 7Y 10y = 40 + -37 + 7Y Combine like terms: 40 + -37 = 3 10y = 3 + 7Y Divide each side by '10'. y = 0.3 + 0.7Y Simplifying y = 0.3 + 0.7Y
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