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Simplifying 34 + 11y + -5z = -51 Solving 34 + 11y + -5z = -51 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + 11y + -34 + -5z = -51 + -34 Reorder the terms: 34 + -34 + 11y + -5z = -51 + -34 Combine like terms: 34 + -34 = 0 0 + 11y + -5z = -51 + -34 11y + -5z = -51 + -34 Combine like terms: -51 + -34 = -85 11y + -5z = -85 Add '5z' to each side of the equation. 11y + -5z + 5z = -85 + 5z Combine like terms: -5z + 5z = 0 11y + 0 = -85 + 5z 11y = -85 + 5z Divide each side by '11'. y = -7.727272727 + 0.4545454545z Simplifying y = -7.727272727 + 0.4545454545z
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