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