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Simplifying 8(6z + 7y) + -11(2y + 8z) = 0 Reorder the terms: 8(7y + 6z) + -11(2y + 8z) = 0 (7y * 8 + 6z * 8) + -11(2y + 8z) = 0 (56y + 48z) + -11(2y + 8z) = 0 56y + 48z + (2y * -11 + 8z * -11) = 0 56y + 48z + (-22y + -88z) = 0 Reorder the terms: 56y + -22y + 48z + -88z = 0 Combine like terms: 56y + -22y = 34y 34y + 48z + -88z = 0 Combine like terms: 48z + -88z = -40z 34y + -40z = 0 Solving 34y + -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. 34y + -40z + 40z = 0 + 40z Combine like terms: -40z + 40z = 0 34y + 0 = 0 + 40z 34y = 0 + 40z Remove the zero: 34y = 40z Divide each side by '34'. y = 1.176470588z Simplifying y = 1.176470588z
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