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Simplifying 5y + 9 = -2y + 30 Reorder the terms: 9 + 5y = -2y + 30 Reorder the terms: 9 + 5y = 30 + -2y Solving 9 + 5y = 30 + -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. 9 + 5y + 2y = 30 + -2y + 2y Combine like terms: 5y + 2y = 7y 9 + 7y = 30 + -2y + 2y Combine like terms: -2y + 2y = 0 9 + 7y = 30 + 0 9 + 7y = 30 Add '-9' to each side of the equation. 9 + -9 + 7y = 30 + -9 Combine like terms: 9 + -9 = 0 0 + 7y = 30 + -9 7y = 30 + -9 Combine like terms: 30 + -9 = 21 7y = 21 Divide each side by '7'. y = 3 Simplifying y = 3
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