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Simplifying 5y + -8 + y + 45 = 7y + 40 + -4y Reorder the terms: -8 + 45 + 5y + y = 7y + 40 + -4y Combine like terms: -8 + 45 = 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 Combine like terms: 7y + -4y = 3y 37 + 6y = 40 + 3y Solving 37 + 6y = 40 + 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. 37 + 6y + -3y = 40 + 3y + -3y Combine like terms: 6y + -3y = 3y 37 + 3y = 40 + 3y + -3y Combine like terms: 3y + -3y = 0 37 + 3y = 40 + 0 37 + 3y = 40 Add '-37' to each side of the equation. 37 + -37 + 3y = 40 + -37 Combine like terms: 37 + -37 = 0 0 + 3y = 40 + -37 3y = 40 + -37 Combine like terms: 40 + -37 = 3 3y = 3 Divide each side by '3'. y = 1 Simplifying y = 1
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