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Simplifying x + 5 = y + 4 + x Reorder the terms: 5 + x = y + 4 + x Reorder the terms: 5 + x = 4 + x + y Add '-1x' to each side of the equation. 5 + x + -1x = 4 + x + -1x + y Combine like terms: x + -1x = 0 5 + 0 = 4 + x + -1x + y 5 = 4 + x + -1x + y Combine like terms: x + -1x = 0 5 = 4 + 0 + y 5 = 4 + y Solving 5 = 4 + 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. 5 + -1y = 4 + y + -1y Combine like terms: y + -1y = 0 5 + -1y = 4 + 0 5 + -1y = 4 Add '-5' to each side of the equation. 5 + -5 + -1y = 4 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 4 + -5 -1y = 4 + -5 Combine like terms: 4 + -5 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1
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