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