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Simplifying 100 + -1y + 3(100 + -1y) + -2y = 100 100 + -1y + (100 * 3 + -1y * 3) + -2y = 100 100 + -1y + (300 + -3y) + -2y = 100 Reorder the terms: 100 + 300 + -1y + -3y + -2y = 100 Combine like terms: 100 + 300 = 400 400 + -1y + -3y + -2y = 100 Combine like terms: -1y + -3y = -4y 400 + -4y + -2y = 100 Combine like terms: -4y + -2y = -6y 400 + -6y = 100 Solving 400 + -6y = 100 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-400' to each side of the equation. 400 + -400 + -6y = 100 + -400 Combine like terms: 400 + -400 = 0 0 + -6y = 100 + -400 -6y = 100 + -400 Combine like terms: 100 + -400 = -300 -6y = -300 Divide each side by '-6'. y = 50 Simplifying y = 50
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