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Simplifying 6y + z = y + 12 Reorder the terms: 6y + z = 12 + y Solving 6y + z = 12 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 6y + -1y + z = 12 + y + -1y Combine like terms: 6y + -1y = 5y 5y + z = 12 + y + -1y Combine like terms: y + -1y = 0 5y + z = 12 + 0 5y + z = 12 Add '-1z' to each side of the equation. 5y + z + -1z = 12 + -1z Combine like terms: z + -1z = 0 5y + 0 = 12 + -1z 5y = 12 + -1z Divide each side by '5'. y = 2.4 + -0.2z Simplifying y = 2.4 + -0.2z
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