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Simplifying 3(5 + y) + -4(5 + -1y) = 20 (5 * 3 + y * 3) + -4(5 + -1y) = 20 (15 + 3y) + -4(5 + -1y) = 20 15 + 3y + (5 * -4 + -1y * -4) = 20 15 + 3y + (-20 + 4y) = 20 Reorder the terms: 15 + -20 + 3y + 4y = 20 Combine like terms: 15 + -20 = -5 -5 + 3y + 4y = 20 Combine like terms: 3y + 4y = 7y -5 + 7y = 20 Solving -5 + 7y = 20 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 7y = 20 + 5 Combine like terms: -5 + 5 = 0 0 + 7y = 20 + 5 7y = 20 + 5 Combine like terms: 20 + 5 = 25 7y = 25 Divide each side by '7'. y = 3.571428571 Simplifying y = 3.571428571
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