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Simplifying 3x + -1[2x + (5y + -1x) + -1(y + -2x) + 1] = 0 Reorder the terms: 3x + -1[2x + (-1x + 5y) + -1(y + -2x) + 1] = 0 Remove parenthesis around (-1x + 5y) 3x + -1[2x + -1x + 5y + -1(y + -2x) + 1] = 0 Reorder the terms: 3x + -1[2x + -1x + 5y + -1(-2x + y) + 1] = 0 3x + -1[2x + -1x + 5y + (-2x * -1 + y * -1) + 1] = 0 3x + -1[2x + -1x + 5y + (2x + -1y) + 1] = 0 Reorder the terms: 3x + -1[1 + 2x + -1x + 2x + 5y + -1y] = 0 Combine like terms: 2x + -1x = 1x 3x + -1[1 + 1x + 2x + 5y + -1y] = 0 Combine like terms: 1x + 2x = 3x 3x + -1[1 + 3x + 5y + -1y] = 0 Combine like terms: 5y + -1y = 4y 3x + -1[1 + 3x + 4y] = 0 3x + [1 * -1 + 3x * -1 + 4y * -1] = 0 3x + [-1 + -3x + -4y] = 0 Reorder the terms: -1 + 3x + -3x + -4y = 0 Combine like terms: 3x + -3x = 0 -1 + 0 + -4y = 0 -1 + -4y = 0 Solving -1 + -4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -4y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4y = 0 + 1 -4y = 0 + 1 Combine like terms: 0 + 1 = 1 -4y = 1 Divide each side by '-4'. y = -0.25 Simplifying y = -0.25
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