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Simplifying 2y + 3x + -4(y + 2x) = 13 + -2(3x + -1y) + x Reorder the terms: 2y + 3x + -4(2x + y) = 13 + -2(3x + -1y) + x 2y + 3x + (2x * -4 + y * -4) = 13 + -2(3x + -1y) + x 2y + 3x + (-8x + -4y) = 13 + -2(3x + -1y) + x Reorder the terms: 3x + -8x + 2y + -4y = 13 + -2(3x + -1y) + x Combine like terms: 3x + -8x = -5x -5x + 2y + -4y = 13 + -2(3x + -1y) + x Combine like terms: 2y + -4y = -2y -5x + -2y = 13 + -2(3x + -1y) + x -5x + -2y = 13 + (3x * -2 + -1y * -2) + x -5x + -2y = 13 + (-6x + 2y) + x Reorder the terms: -5x + -2y = 13 + -6x + x + 2y Combine like terms: -6x + x = -5x -5x + -2y = 13 + -5x + 2y Add '5x' to each side of the equation. -5x + 5x + -2y = 13 + -5x + 5x + 2y Combine like terms: -5x + 5x = 0 0 + -2y = 13 + -5x + 5x + 2y -2y = 13 + -5x + 5x + 2y Combine like terms: -5x + 5x = 0 -2y = 13 + 0 + 2y -2y = 13 + 2y Solving -2y = 13 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -2y + -2y = 13 + 2y + -2y Combine like terms: -2y + -2y = -4y -4y = 13 + 2y + -2y Combine like terms: 2y + -2y = 0 -4y = 13 + 0 -4y = 13 Divide each side by '-4'. y = -3.25 Simplifying y = -3.25
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