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Simplifying 3y + -2(x + 1) = y + 3(x + 6) Reorder the terms: 3y + -2(1 + x) = y + 3(x + 6) 3y + (1 * -2 + x * -2) = y + 3(x + 6) 3y + (-2 + -2x) = y + 3(x + 6) Reorder the terms: -2 + -2x + 3y = y + 3(x + 6) Reorder the terms: -2 + -2x + 3y = y + 3(6 + x) -2 + -2x + 3y = y + (6 * 3 + x * 3) -2 + -2x + 3y = y + (18 + 3x) Reorder the terms: -2 + -2x + 3y = 18 + 3x + y Solving -2 + -2x + 3y = 18 + 3x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + -2x + -3x + 3y = 18 + 3x + -3x + y Combine like terms: -2x + -3x = -5x -2 + -5x + 3y = 18 + 3x + -3x + y Combine like terms: 3x + -3x = 0 -2 + -5x + 3y = 18 + 0 + y -2 + -5x + 3y = 18 + y Add '2' to each side of the equation. -2 + -5x + 2 + 3y = 18 + 2 + y Reorder the terms: -2 + 2 + -5x + 3y = 18 + 2 + y Combine like terms: -2 + 2 = 0 0 + -5x + 3y = 18 + 2 + y -5x + 3y = 18 + 2 + y Combine like terms: 18 + 2 = 20 -5x + 3y = 20 + y Add '-3y' to each side of the equation. -5x + 3y + -3y = 20 + y + -3y Combine like terms: 3y + -3y = 0 -5x + 0 = 20 + y + -3y -5x = 20 + y + -3y Combine like terms: y + -3y = -2y -5x = 20 + -2y Divide each side by '-5'. x = -4 + 0.4y Simplifying x = -4 + 0.4y
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