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Simplifying 2(x + y) + -1z = 2x + z (x * 2 + y * 2) + -1z = 2x + z (2x + 2y) + -1z = 2x + z Add '-2x' to each side of the equation. 2x + 2y + -2x + -1z = 2x + -2x + z Reorder the terms: 2x + -2x + 2y + -1z = 2x + -2x + z Combine like terms: 2x + -2x = 0 0 + 2y + -1z = 2x + -2x + z 2y + -1z = 2x + -2x + z Combine like terms: 2x + -2x = 0 2y + -1z = 0 + z 2y + -1z = z Solving 2y + -1z = z Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'z' to each side of the equation. 2y + -1z + z = z + z Combine like terms: -1z + z = 0 2y + 0 = z + z 2y = z + z Combine like terms: z + z = 2z 2y = 2z Divide each side by '2'. y = z Simplifying y = z
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