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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 = 4 4 + 8y + -10y + -3z + 5z = 0 Combine like terms: 8y + -10y = -2y 4 + -2y + -3z + 5z = 0 Combine like terms: -3z + 5z = 2z 4 + -2y + 2z = 0 Solving 4 + -2y + 2z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -2y + -4 + 2z = 0 + -4 Reorder the terms: 4 + -4 + -2y + 2z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2y + 2z = 0 + -4 -2y + 2z = 0 + -4 Combine like terms: 0 + -4 = -4 -2y + 2z = -4 Add '-2z' to each side of the equation. -2y + 2z + -2z = -4 + -2z Combine like terms: 2z + -2z = 0 -2y + 0 = -4 + -2z -2y = -4 + -2z Divide each side by '-2'. y = 2 + z Simplifying y = 2 + z
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