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Simplifying 4x + -1(6x + -27) + (2x + -7y) = 0 Reorder the terms: 4x + -1(-27 + 6x) + (2x + -7y) = 0 4x + (-27 * -1 + 6x * -1) + (2x + -7y) = 0 4x + (27 + -6x) + (2x + -7y) = 0 Remove parenthesis around (2x + -7y) 4x + 27 + -6x + 2x + -7y = 0 Reorder the terms: 27 + 4x + -6x + 2x + -7y = 0 Combine like terms: 4x + -6x = -2x 27 + -2x + 2x + -7y = 0 Combine like terms: -2x + 2x = 0 27 + 0 + -7y = 0 27 + -7y = 0 Solving 27 + -7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -7y = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -7y = 0 + -27 -7y = 0 + -27 Combine like terms: 0 + -27 = -27 -7y = -27 Divide each side by '-7'. y = 3.857142857 Simplifying y = 3.857142857
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