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Simplifying 6(8 + -1.333333333y + -0.5z) + 8y + 3z = 48 (8 * 6 + -1.333333333y * 6 + -0.5z * 6) + 8y + 3z = 48 (48 + -7.999999998y + -3z) + 8y + 3z = 48 Reorder the terms: 48 + -7.999999998y + 8y + -3z + 3z = 48 Combine like terms: -7.999999998y + 8y = 0.000000002y 48 + 0.000000002y + -3z + 3z = 48 Combine like terms: -3z + 3z = 0 48 + 0.000000002y + 0 = 48 48 + 0.000000002y = 48 Add '-48' to each side of the equation. 48 + -48 + 0.000000002y = 48 + -48 Combine like terms: 48 + -48 = 0 0 + 0.000000002y = 48 + -48 0.000000002y = 48 + -48 Combine like terms: 48 + -48 = 0 0.000000002y = 0 Solving 0.000000002y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '0.000000002'. y = 0 Simplifying y = 0
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