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Simplifying y + 6(8 + -2y) + -3(7 + x) + 9 = 0 y + (8 * 6 + -2y * 6) + -3(7 + x) + 9 = 0 y + (48 + -12y) + -3(7 + x) + 9 = 0 y + 48 + -12y + (7 * -3 + x * -3) + 9 = 0 y + 48 + -12y + (-21 + -3x) + 9 = 0 Reorder the terms: 48 + -21 + 9 + -3x + y + -12y = 0 Combine like terms: 48 + -21 = 27 27 + 9 + -3x + y + -12y = 0 Combine like terms: 27 + 9 = 36 36 + -3x + y + -12y = 0 Combine like terms: y + -12y = -11y 36 + -3x + -11y = 0 Solving 36 + -3x + -11y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -3x + -36 + -11y = 0 + -36 Reorder the terms: 36 + -36 + -3x + -11y = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -3x + -11y = 0 + -36 -3x + -11y = 0 + -36 Combine like terms: 0 + -36 = -36 -3x + -11y = -36 Add '11y' to each side of the equation. -3x + -11y + 11y = -36 + 11y Combine like terms: -11y + 11y = 0 -3x + 0 = -36 + 11y -3x = -36 + 11y Divide each side by '-3'. x = 12 + -3.666666667y Simplifying x = 12 + -3.666666667y
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