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Simplifying x + -3y + 5 = x + -1y + 1 Reorder the terms: 5 + x + -3y = x + -1y + 1 Reorder the terms: 5 + x + -3y = 1 + x + -1y Add '-1x' to each side of the equation. 5 + x + -1x + -3y = 1 + x + -1x + -1y Combine like terms: x + -1x = 0 5 + 0 + -3y = 1 + x + -1x + -1y 5 + -3y = 1 + x + -1x + -1y Combine like terms: x + -1x = 0 5 + -3y = 1 + 0 + -1y 5 + -3y = 1 + -1y Solving 5 + -3y = 1 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 5 + -3y + y = 1 + -1y + y Combine like terms: -3y + y = -2y 5 + -2y = 1 + -1y + y Combine like terms: -1y + y = 0 5 + -2y = 1 + 0 5 + -2y = 1 Add '-5' to each side of the equation. 5 + -5 + -2y = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -2y = 1 + -5 -2y = 1 + -5 Combine like terms: 1 + -5 = -4 -2y = -4 Divide each side by '-2'. y = 2 Simplifying y = 2
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