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Simplifying 4(y + 5) = 9y + 35 Reorder the terms: 4(5 + y) = 9y + 35 (5 * 4 + y * 4) = 9y + 35 (20 + 4y) = 9y + 35 Reorder the terms: 20 + 4y = 35 + 9y Solving 20 + 4y = 35 + 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. 20 + 4y + -9y = 35 + 9y + -9y Combine like terms: 4y + -9y = -5y 20 + -5y = 35 + 9y + -9y Combine like terms: 9y + -9y = 0 20 + -5y = 35 + 0 20 + -5y = 35 Add '-20' to each side of the equation. 20 + -20 + -5y = 35 + -20 Combine like terms: 20 + -20 = 0 0 + -5y = 35 + -20 -5y = 35 + -20 Combine like terms: 35 + -20 = 15 -5y = 15 Divide each side by '-5'. y = -3 Simplifying y = -3
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