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Simplifying 4y + -5 + y + 45 = 5y + 40 + -3y Reorder the terms: -5 + 45 + 4y + y = 5y + 40 + -3y Combine like terms: -5 + 45 = 40 40 + 4y + y = 5y + 40 + -3y Combine like terms: 4y + y = 5y 40 + 5y = 5y + 40 + -3y Reorder the terms: 40 + 5y = 40 + 5y + -3y Combine like terms: 5y + -3y = 2y 40 + 5y = 40 + 2y Add '-40' to each side of the equation. 40 + -40 + 5y = 40 + -40 + 2y Combine like terms: 40 + -40 = 0 0 + 5y = 40 + -40 + 2y 5y = 40 + -40 + 2y Combine like terms: 40 + -40 = 0 5y = 0 + 2y 5y = 2y Solving 5y = 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 5y + -2y = 2y + -2y Combine like terms: 5y + -2y = 3y 3y = 2y + -2y Combine like terms: 2y + -2y = 0 3y = 0 Divide each side by '3'. y = 0 Simplifying y = 0
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