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Simplifying 2x + -1y = 5y + 2x + 12 Reorder the terms: 2x + -1y = 12 + 2x + 5y Add '-2x' to each side of the equation. 2x + -2x + -1y = 12 + 2x + -2x + 5y Combine like terms: 2x + -2x = 0 0 + -1y = 12 + 2x + -2x + 5y -1y = 12 + 2x + -2x + 5y Combine like terms: 2x + -2x = 0 -1y = 12 + 0 + 5y -1y = 12 + 5y Solving -1y = 12 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -1y + -5y = 12 + 5y + -5y Combine like terms: -1y + -5y = -6y -6y = 12 + 5y + -5y Combine like terms: 5y + -5y = 0 -6y = 12 + 0 -6y = 12 Divide each side by '-6'. y = -2 Simplifying y = -2
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