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Simplifying 81x + -1y + -9(9x + -4 + 2z) = 0 Reorder the terms: 81x + -1y + -9(-4 + 9x + 2z) = 0 81x + -1y + (-4 * -9 + 9x * -9 + 2z * -9) = 0 81x + -1y + (36 + -81x + -18z) = 0 Reorder the terms: 36 + 81x + -81x + -1y + -18z = 0 Combine like terms: 81x + -81x = 0 36 + 0 + -1y + -18z = 0 36 + -1y + -18z = 0 Solving 36 + -1y + -18z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -1y + -36 + -18z = 0 + -36 Reorder the terms: 36 + -36 + -1y + -18z = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1y + -18z = 0 + -36 -1y + -18z = 0 + -36 Combine like terms: 0 + -36 = -36 -1y + -18z = -36 Add '18z' to each side of the equation. -1y + -18z + 18z = -36 + 18z Combine like terms: -18z + 18z = 0 -1y + 0 = -36 + 18z -1y = -36 + 18z Divide each side by '-1'. y = 36 + -18z Simplifying y = 36 + -18z
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