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Simplifying 48x + -1y + -8(6x + -5y + 5z) = 0 48x + -1y + (6x * -8 + -5y * -8 + 5z * -8) = 0 48x + -1y + (-48x + 40y + -40z) = 0 Reorder the terms: 48x + -48x + -1y + 40y + -40z = 0 Combine like terms: 48x + -48x = 0 0 + -1y + 40y + -40z = 0 -1y + 40y + -40z = 0 Combine like terms: -1y + 40y = 39y 39y + -40z = 0 Solving 39y + -40z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '40z' to each side of the equation. 39y + -40z + 40z = 0 + 40z Combine like terms: -40z + 40z = 0 39y + 0 = 0 + 40z 39y = 0 + 40z Remove the zero: 39y = 40z Divide each side by '39'. y = 1.025641026z Simplifying y = 1.025641026z
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