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Simplifying (x + 20) = (x + 10) + (y + -40) Reorder the terms: (20 + x) = (x + 10) + (y + -40) Remove parenthesis around (20 + x) 20 + x = (x + 10) + (y + -40) Reorder the terms: 20 + x = (10 + x) + (y + -40) Remove parenthesis around (10 + x) 20 + x = 10 + x + (y + -40) Reorder the terms: 20 + x = 10 + x + (-40 + y) Remove parenthesis around (-40 + y) 20 + x = 10 + x + -40 + y Reorder the terms: 20 + x = 10 + -40 + x + y Combine like terms: 10 + -40 = -30 20 + x = -30 + x + y Add '-1x' to each side of the equation. 20 + x + -1x = -30 + x + -1x + y Combine like terms: x + -1x = 0 20 + 0 = -30 + x + -1x + y 20 = -30 + x + -1x + y Combine like terms: x + -1x = 0 20 = -30 + 0 + y 20 = -30 + y Solving 20 = -30 + 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. 20 + -1y = -30 + y + -1y Combine like terms: y + -1y = 0 20 + -1y = -30 + 0 20 + -1y = -30 Add '-20' to each side of the equation. 20 + -20 + -1y = -30 + -20 Combine like terms: 20 + -20 = 0 0 + -1y = -30 + -20 -1y = -30 + -20 Combine like terms: -30 + -20 = -50 -1y = -50 Divide each side by '-1'. y = 50 Simplifying y = 50
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