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Simplifying 5x + -1y = 5x + y + -5 Reorder the terms: 5x + -1y = -5 + 5x + y Add '-5x' to each side of the equation. 5x + -5x + -1y = -5 + 5x + -5x + y Combine like terms: 5x + -5x = 0 0 + -1y = -5 + 5x + -5x + y -1y = -5 + 5x + -5x + y Combine like terms: 5x + -5x = 0 -1y = -5 + 0 + y -1y = -5 + y Solving -1y = -5 + 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. -1y + -1y = -5 + y + -1y Combine like terms: -1y + -1y = -2y -2y = -5 + y + -1y Combine like terms: y + -1y = 0 -2y = -5 + 0 -2y = -5 Divide each side by '-2'. y = 2.5 Simplifying y = 2.5
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