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Simplifying 6 + 2(3j + -2) = 2(-5 + 4y) Reorder the terms: 6 + 2(-2 + 3j) = 2(-5 + 4y) 6 + (-2 * 2 + 3j * 2) = 2(-5 + 4y) 6 + (-4 + 6j) = 2(-5 + 4y) Combine like terms: 6 + -4 = 2 2 + 6j = 2(-5 + 4y) 2 + 6j = (-5 * 2 + 4y * 2) 2 + 6j = (-10 + 8y) Solving 2 + 6j = -10 + 8y Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 6j = -10 + -2 + 8y Combine like terms: 2 + -2 = 0 0 + 6j = -10 + -2 + 8y 6j = -10 + -2 + 8y Combine like terms: -10 + -2 = -12 6j = -12 + 8y Divide each side by '6'. j = -2 + 1.333333333y Simplifying j = -2 + 1.333333333y
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