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Simplifying 5(-5y + 40) + 3y = 46 Reorder the terms: 5(40 + -5y) + 3y = 46 (40 * 5 + -5y * 5) + 3y = 46 (200 + -25y) + 3y = 46 Combine like terms: -25y + 3y = -22y 200 + -22y = 46 Solving 200 + -22y = 46 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-200' to each side of the equation. 200 + -200 + -22y = 46 + -200 Combine like terms: 200 + -200 = 0 0 + -22y = 46 + -200 -22y = 46 + -200 Combine like terms: 46 + -200 = -154 -22y = -154 Divide each side by '-22'. y = 7 Simplifying y = 7
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