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Simplifying 2X + 5(Y + -4) = 4Y + -2(Y + -10) Reorder the terms: 2X + 5(-4 + Y) = 4Y + -2(Y + -10) 2X + (-4 * 5 + Y * 5) = 4Y + -2(Y + -10) 2X + (-20 + 5Y) = 4Y + -2(Y + -10) Reorder the terms: -20 + 2X + 5Y = 4Y + -2(Y + -10) Reorder the terms: -20 + 2X + 5Y = 4Y + -2(-10 + Y) -20 + 2X + 5Y = 4Y + (-10 * -2 + Y * -2) -20 + 2X + 5Y = 4Y + (20 + -2Y) Reorder the terms: -20 + 2X + 5Y = 20 + 4Y + -2Y Combine like terms: 4Y + -2Y = 2Y -20 + 2X + 5Y = 20 + 2Y Solving -20 + 2X + 5Y = 20 + 2Y Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 2X + 20 + 5Y = 20 + 20 + 2Y Reorder the terms: -20 + 20 + 2X + 5Y = 20 + 20 + 2Y Combine like terms: -20 + 20 = 0 0 + 2X + 5Y = 20 + 20 + 2Y 2X + 5Y = 20 + 20 + 2Y Combine like terms: 20 + 20 = 40 2X + 5Y = 40 + 2Y Add '-5Y' to each side of the equation. 2X + 5Y + -5Y = 40 + 2Y + -5Y Combine like terms: 5Y + -5Y = 0 2X + 0 = 40 + 2Y + -5Y 2X = 40 + 2Y + -5Y Combine like terms: 2Y + -5Y = -3Y 2X = 40 + -3Y Divide each side by '2'. X = 20 + -1.5Y Simplifying X = 20 + -1.5Y
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