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Simplifying 3y + -1z + 2z + -30 = 70 Reorder the terms: -30 + 3y + -1z + 2z = 70 Combine like terms: -1z + 2z = 1z -30 + 3y + 1z = 70 Solving -30 + 3y + 1z = 70 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 3y + 30 + 1z = 70 + 30 Reorder the terms: -30 + 30 + 3y + 1z = 70 + 30 Combine like terms: -30 + 30 = 0 0 + 3y + 1z = 70 + 30 3y + 1z = 70 + 30 Combine like terms: 70 + 30 = 100 3y + 1z = 100 Add '-1z' to each side of the equation. 3y + 1z + -1z = 100 + -1z Combine like terms: 1z + -1z = 0 3y + 0 = 100 + -1z 3y = 100 + -1z Divide each side by '3'. y = 33.33333333 + -0.3333333333z Simplifying y = 33.33333333 + -0.3333333333z
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