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Simplifying 3(20 + y) + -2(5 + 2y) = 40 (20 * 3 + y * 3) + -2(5 + 2y) = 40 (60 + 3y) + -2(5 + 2y) = 40 60 + 3y + (5 * -2 + 2y * -2) = 40 60 + 3y + (-10 + -4y) = 40 Reorder the terms: 60 + -10 + 3y + -4y = 40 Combine like terms: 60 + -10 = 50 50 + 3y + -4y = 40 Combine like terms: 3y + -4y = -1y 50 + -1y = 40 Solving 50 + -1y = 40 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -1y = 40 + -50 Combine like terms: 50 + -50 = 0 0 + -1y = 40 + -50 -1y = 40 + -50 Combine like terms: 40 + -50 = -10 -1y = -10 Divide each side by '-1'. y = 10 Simplifying y = 10
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