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Simplifying 10 + 8y + -3z = -1y + -1z Solving 10 + 8y + -3z = -1y + -1z Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 10 + 8y + y + -3z = -1y + y + -1z Combine like terms: 8y + y = 9y 10 + 9y + -3z = -1y + y + -1z Combine like terms: -1y + y = 0 10 + 9y + -3z = 0 + -1z 10 + 9y + -3z = -1z Add '-10' to each side of the equation. 10 + 9y + -10 + -3z = -10 + -1z Reorder the terms: 10 + -10 + 9y + -3z = -10 + -1z Combine like terms: 10 + -10 = 0 0 + 9y + -3z = -10 + -1z 9y + -3z = -10 + -1z Add '3z' to each side of the equation. 9y + -3z + 3z = -10 + -1z + 3z Combine like terms: -3z + 3z = 0 9y + 0 = -10 + -1z + 3z 9y = -10 + -1z + 3z Combine like terms: -1z + 3z = 2z 9y = -10 + 2z Divide each side by '9'. y = -1.111111111 + 0.2222222222z Simplifying y = -1.111111111 + 0.2222222222z
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