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Simplifying 2 + -1y + 2y + 2z = 2 Combine like terms: -1y + 2y = 1y 2 + 1y + 2z = 2 Add '-2' to each side of the equation. 2 + 1y + -2 + 2z = 2 + -2 Reorder the terms: 2 + -2 + 1y + 2z = 2 + -2 Combine like terms: 2 + -2 = 0 0 + 1y + 2z = 2 + -2 1y + 2z = 2 + -2 Combine like terms: 2 + -2 = 0 1y + 2z = 0 Solving 1y + 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. 1y + 2z + -2z = 0 + -2z Combine like terms: 2z + -2z = 0 1y + 0 = 0 + -2z 1y = 0 + -2z Remove the zero: 1y = -2z Divide each side by '1'. y = -2z Simplifying y = -2z
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