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Simplifying 4y + 30 = 9(y + 5) Reorder the terms: 30 + 4y = 9(y + 5) Reorder the terms: 30 + 4y = 9(5 + y) 30 + 4y = (5 * 9 + y * 9) 30 + 4y = (45 + 9y) Solving 30 + 4y = 45 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 30 + 4y + -9y = 45 + 9y + -9y Combine like terms: 4y + -9y = -5y 30 + -5y = 45 + 9y + -9y Combine like terms: 9y + -9y = 0 30 + -5y = 45 + 0 30 + -5y = 45 Add '-30' to each side of the equation. 30 + -30 + -5y = 45 + -30 Combine like terms: 30 + -30 = 0 0 + -5y = 45 + -30 -5y = 45 + -30 Combine like terms: 45 + -30 = 15 -5y = 15 Divide each side by '-5'. y = -3 Simplifying y = -3
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