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Simplifying 5y + 9 + 5y = 30 + 7y + -15 + 45 Reorder the terms: 9 + 5y + 5y = 30 + 7y + -15 + 45 Combine like terms: 5y + 5y = 10y 9 + 10y = 30 + 7y + -15 + 45 Reorder the terms: 9 + 10y = 30 + -15 + 45 + 7y Combine like terms: 30 + -15 = 15 9 + 10y = 15 + 45 + 7y Combine like terms: 15 + 45 = 60 9 + 10y = 60 + 7y Solving 9 + 10y = 60 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 9 + 10y + -7y = 60 + 7y + -7y Combine like terms: 10y + -7y = 3y 9 + 3y = 60 + 7y + -7y Combine like terms: 7y + -7y = 0 9 + 3y = 60 + 0 9 + 3y = 60 Add '-9' to each side of the equation. 9 + -9 + 3y = 60 + -9 Combine like terms: 9 + -9 = 0 0 + 3y = 60 + -9 3y = 60 + -9 Combine like terms: 60 + -9 = 51 3y = 51 Divide each side by '3'. y = 17 Simplifying y = 17
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