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Simplifying 3y + 7y + 21 + -44 = 5y + 17 Reorder the terms: 21 + -44 + 3y + 7y = 5y + 17 Combine like terms: 21 + -44 = -23 -23 + 3y + 7y = 5y + 17 Combine like terms: 3y + 7y = 10y -23 + 10y = 5y + 17 Reorder the terms: -23 + 10y = 17 + 5y Solving -23 + 10y = 17 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -23 + 10y + -5y = 17 + 5y + -5y Combine like terms: 10y + -5y = 5y -23 + 5y = 17 + 5y + -5y Combine like terms: 5y + -5y = 0 -23 + 5y = 17 + 0 -23 + 5y = 17 Add '23' to each side of the equation. -23 + 23 + 5y = 17 + 23 Combine like terms: -23 + 23 = 0 0 + 5y = 17 + 23 5y = 17 + 23 Combine like terms: 17 + 23 = 40 5y = 40 Divide each side by '5'. y = 8 Simplifying y = 8
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