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Simplifying 1.4(0.5x + 4.2) + -3.5(0.2x + -1.5y) = 0 Reorder the terms: 1.4(4.2 + 0.5x) + -3.5(0.2x + -1.5y) = 0 (4.2 * 1.4 + 0.5x * 1.4) + -3.5(0.2x + -1.5y) = 0 (5.88 + 0.7x) + -3.5(0.2x + -1.5y) = 0 5.88 + 0.7x + (0.2x * -3.5 + -1.5y * -3.5) = 0 5.88 + 0.7x + (-0.7x + 5.25y) = 0 Combine like terms: 0.7x + -0.7x = 0.0 5.88 + 0.0 + 5.25y = 0 5.88 + 5.25y = 0 Solving 5.88 + 5.25y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5.88' to each side of the equation. 5.88 + -5.88 + 5.25y = 0 + -5.88 Combine like terms: 5.88 + -5.88 = 0.00 0.00 + 5.25y = 0 + -5.88 5.25y = 0 + -5.88 Combine like terms: 0 + -5.88 = -5.88 5.25y = -5.88 Divide each side by '5.25'. y = -1.12 Simplifying y = -1.12
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