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Simplifying 5(4.2j + -2.4) = 1.5(8y + -4) Reorder the terms: 5(-2.4 + 4.2j) = 1.5(8y + -4) (-2.4 * 5 + 4.2j * 5) = 1.5(8y + -4) (-12 + 21j) = 1.5(8y + -4) Reorder the terms: -12 + 21j = 1.5(-4 + 8y) -12 + 21j = (-4 * 1.5 + 8y * 1.5) -12 + 21j = (-6 + 12y) Solving -12 + 21j = -6 + 12y Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 21j = -6 + 12 + 12y Combine like terms: -12 + 12 = 0 0 + 21j = -6 + 12 + 12y 21j = -6 + 12 + 12y Combine like terms: -6 + 12 = 6 21j = 6 + 12y Divide each side by '21'. j = 0.2857142857 + 0.5714285714y Simplifying j = 0.2857142857 + 0.5714285714y
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