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Simplifying y + 2(2x + -3) = 3x + -4(2y + 1) Reorder the terms: y + 2(-3 + 2x) = 3x + -4(2y + 1) y + (-3 * 2 + 2x * 2) = 3x + -4(2y + 1) y + (-6 + 4x) = 3x + -4(2y + 1) Reorder the terms: -6 + 4x + y = 3x + -4(2y + 1) Reorder the terms: -6 + 4x + y = 3x + -4(1 + 2y) -6 + 4x + y = 3x + (1 * -4 + 2y * -4) -6 + 4x + y = 3x + (-4 + -8y) Reorder the terms: -6 + 4x + y = -4 + 3x + -8y Solving -6 + 4x + y = -4 + 3x + -8y 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. -6 + 4x + -3x + y = -4 + 3x + -3x + -8y Combine like terms: 4x + -3x = 1x -6 + 1x + y = -4 + 3x + -3x + -8y Combine like terms: 3x + -3x = 0 -6 + 1x + y = -4 + 0 + -8y -6 + 1x + y = -4 + -8y Add '6' to each side of the equation. -6 + 1x + 6 + y = -4 + 6 + -8y Reorder the terms: -6 + 6 + 1x + y = -4 + 6 + -8y Combine like terms: -6 + 6 = 0 0 + 1x + y = -4 + 6 + -8y 1x + y = -4 + 6 + -8y Combine like terms: -4 + 6 = 2 1x + y = 2 + -8y Add '-1y' to each side of the equation. 1x + y + -1y = 2 + -8y + -1y Combine like terms: y + -1y = 0 1x + 0 = 2 + -8y + -1y 1x = 2 + -8y + -1y Combine like terms: -8y + -1y = -9y 1x = 2 + -9y Divide each side by '1'. x = 2 + -9y Simplifying x = 2 + -9y
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