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Simplifying 10z + -5y + 4 = 6z + -8y + 30 Reorder the terms: 4 + -5y + 10z = 6z + -8y + 30 Reorder the terms: 4 + -5y + 10z = 30 + -8y + 6z Solving 4 + -5y + 10z = 30 + -8y + 6z Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 4 + -5y + 8y + 10z = 30 + -8y + 8y + 6z Combine like terms: -5y + 8y = 3y 4 + 3y + 10z = 30 + -8y + 8y + 6z Combine like terms: -8y + 8y = 0 4 + 3y + 10z = 30 + 0 + 6z 4 + 3y + 10z = 30 + 6z Add '-4' to each side of the equation. 4 + 3y + -4 + 10z = 30 + -4 + 6z Reorder the terms: 4 + -4 + 3y + 10z = 30 + -4 + 6z Combine like terms: 4 + -4 = 0 0 + 3y + 10z = 30 + -4 + 6z 3y + 10z = 30 + -4 + 6z Combine like terms: 30 + -4 = 26 3y + 10z = 26 + 6z Add '-10z' to each side of the equation. 3y + 10z + -10z = 26 + 6z + -10z Combine like terms: 10z + -10z = 0 3y + 0 = 26 + 6z + -10z 3y = 26 + 6z + -10z Combine like terms: 6z + -10z = -4z 3y = 26 + -4z Divide each side by '3'. y = 8.666666667 + -1.333333333z Simplifying y = 8.666666667 + -1.333333333z
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