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Simplifying 2x2 + 3(y + 1) = 2y + 4 Reorder the terms: 2x2 + 3(1 + y) = 2y + 4 2x2 + (1 * 3 + y * 3) = 2y + 4 2x2 + (3 + 3y) = 2y + 4 Reorder the terms: 3 + 2x2 + 3y = 2y + 4 Reorder the terms: 3 + 2x2 + 3y = 4 + 2y Solving 3 + 2x2 + 3y = 4 + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2x2 + -3 + 3y = 4 + -3 + 2y Reorder the terms: 3 + -3 + 2x2 + 3y = 4 + -3 + 2y Combine like terms: 3 + -3 = 0 0 + 2x2 + 3y = 4 + -3 + 2y 2x2 + 3y = 4 + -3 + 2y Combine like terms: 4 + -3 = 1 2x2 + 3y = 1 + 2y Add '-3y' to each side of the equation. 2x2 + 3y + -3y = 1 + 2y + -3y Combine like terms: 3y + -3y = 0 2x2 + 0 = 1 + 2y + -3y 2x2 = 1 + 2y + -3y Combine like terms: 2y + -3y = -1y 2x2 = 1 + -1y Divide each side by '2'. x2 = 0.5 + -0.5y Simplifying x2 = 0.5 + -0.5y Reorder the terms: -0.5 + x2 + 0.5y = 0.5 + -0.5y + -0.5 + 0.5y Reorder the terms: -0.5 + x2 + 0.5y = 0.5 + -0.5 + -0.5y + 0.5y Combine like terms: 0.5 + -0.5 = 0.0 -0.5 + x2 + 0.5y = 0.0 + -0.5y + 0.5y -0.5 + x2 + 0.5y = -0.5y + 0.5y Combine like terms: -0.5y + 0.5y = 0.0 -0.5 + x2 + 0.5y = 0.0 The solution to this equation could not be determined.
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