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Simplifying 8y + -3z + 2 + -10y + 5z + -2 = 0 Reorder the terms: 2 + -2 + 8y + -10y + -3z + 5z = 0 Combine like terms: 2 + -2 = 0 0 + 8y + -10y + -3z + 5z = 0 8y + -10y + -3z + 5z = 0 Combine like terms: 8y + -10y = -2y -2y + -3z + 5z = 0 Combine like terms: -3z + 5z = 2z -2y + 2z = 0 Solving -2y + 2z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2z' to each side of the equation. -2y + 2z + -2z = 0 + -2z Combine like terms: 2z + -2z = 0 -2y + 0 = 0 + -2z -2y = 0 + -2z Remove the zero: -2y = -2z Divide each side by '-2'. y = z Simplifying y = z
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