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Simplifying 4y + 3[(x + -5y) + -1(6 + -1y)] = 0 Remove parenthesis around (x + -5y) 4y + 3[x + -5y + -1(6 + -1y)] = 0 4y + 3[x + -5y + (6 * -1 + -1y * -1)] = 0 4y + 3[x + -5y + (-6 + 1y)] = 0 Reorder the terms: 4y + 3[-6 + x + -5y + 1y] = 0 Combine like terms: -5y + 1y = -4y 4y + 3[-6 + x + -4y] = 0 4y + [-6 * 3 + x * 3 + -4y * 3] = 0 4y + [-18 + 3x + -12y] = 0 Reorder the terms: -18 + 3x + 4y + -12y = 0 Combine like terms: 4y + -12y = -8y -18 + 3x + -8y = 0 Solving -18 + 3x + -8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 3x + 18 + -8y = 0 + 18 Reorder the terms: -18 + 18 + 3x + -8y = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 3x + -8y = 0 + 18 3x + -8y = 0 + 18 Combine like terms: 0 + 18 = 18 3x + -8y = 18 Add '8y' to each side of the equation. 3x + -8y + 8y = 18 + 8y Combine like terms: -8y + 8y = 0 3x + 0 = 18 + 8y 3x = 18 + 8y Divide each side by '3'. x = 6 + 2.666666667y Simplifying x = 6 + 2.666666667y
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