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Simplifying z + -6y + 2 = x + 2 Reorder the terms: 2 + -6y + z = x + 2 Reorder the terms: 2 + -6y + z = 2 + x Add '-2' to each side of the equation. 2 + -6y + -2 + z = 2 + -2 + x Reorder the terms: 2 + -2 + -6y + z = 2 + -2 + x Combine like terms: 2 + -2 = 0 0 + -6y + z = 2 + -2 + x -6y + z = 2 + -2 + x Combine like terms: 2 + -2 = 0 -6y + z = 0 + x -6y + z = x Solving -6y + z = x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1z' to each side of the equation. -6y + z + -1z = x + -1z Combine like terms: z + -1z = 0 -6y + 0 = x + -1z -6y = x + -1z Divide each side by '-6'. y = -0.1666666667x + 0.1666666667z Simplifying y = -0.1666666667x + 0.1666666667z
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