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Simplifying 10 + -4y + 3z + -7 + 5y + -7z = 0 Reorder the terms: 10 + -7 + -4y + 5y + 3z + -7z = 0 Combine like terms: 10 + -7 = 3 3 + -4y + 5y + 3z + -7z = 0 Combine like terms: -4y + 5y = 1y 3 + 1y + 3z + -7z = 0 Combine like terms: 3z + -7z = -4z 3 + 1y + -4z = 0 Solving 3 + 1y + -4z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 1y + -3 + -4z = 0 + -3 Reorder the terms: 3 + -3 + 1y + -4z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 1y + -4z = 0 + -3 1y + -4z = 0 + -3 Combine like terms: 0 + -3 = -3 1y + -4z = -3 Add '4z' to each side of the equation. 1y + -4z + 4z = -3 + 4z Combine like terms: -4z + 4z = 0 1y + 0 = -3 + 4z 1y = -3 + 4z Divide each side by '1'. y = -3 + 4z Simplifying y = -3 + 4z
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