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Simplifying [(x + y) + 1] + y + (x + y) = 6 Remove parenthesis around (x + y) [x + y + 1] + y + (x + y) = 6 Reorder the terms: [1 + x + y] + y + (x + y) = 6 Remove brackets around [1 + x + y] 1 + x + y + y + (x + y) = 6 Remove parenthesis around (x + y) 1 + x + y + y + x + y = 6 Reorder the terms: 1 + x + x + y + y + y = 6 Combine like terms: x + x = 2x 1 + 2x + y + y + y = 6 Combine like terms: y + y = 2y 1 + 2x + 2y + y = 6 Combine like terms: 2y + y = 3y 1 + 2x + 3y = 6 Solving 1 + 2x + 3y = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2x + -1 + 3y = 6 + -1 Reorder the terms: 1 + -1 + 2x + 3y = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 2x + 3y = 6 + -1 2x + 3y = 6 + -1 Combine like terms: 6 + -1 = 5 2x + 3y = 5 Add '-3y' to each side of the equation. 2x + 3y + -3y = 5 + -3y Combine like terms: 3y + -3y = 0 2x + 0 = 5 + -3y 2x = 5 + -3y Divide each side by '2'. x = 2.5 + -1.5y Simplifying x = 2.5 + -1.5y
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