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Simplifying (x + 6y + -2z) + -1(x + -4y + 5z) = 0 Remove parenthesis around (x + 6y + -2z) x + 6y + -2z + -1(x + -4y + 5z) = 0 x + 6y + -2z + (x * -1 + -4y * -1 + 5z * -1) = 0 x + 6y + -2z + (-1x + 4y + -5z) = 0 Reorder the terms: x + -1x + 6y + 4y + -2z + -5z = 0 Combine like terms: x + -1x = 0 0 + 6y + 4y + -2z + -5z = 0 6y + 4y + -2z + -5z = 0 Combine like terms: 6y + 4y = 10y 10y + -2z + -5z = 0 Combine like terms: -2z + -5z = -7z 10y + -7z = 0 Solving 10y + -7z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7z' to each side of the equation. 10y + -7z + 7z = 0 + 7z Combine like terms: -7z + 7z = 0 10y + 0 = 0 + 7z 10y = 0 + 7z Remove the zero: 10y = 7z Divide each side by '10'. y = 0.7z Simplifying y = 0.7z
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