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Simplifying 2(4 + -1y) = 6(y + -6) (4 * 2 + -1y * 2) = 6(y + -6) (8 + -2y) = 6(y + -6) Reorder the terms: 8 + -2y = 6(-6 + y) 8 + -2y = (-6 * 6 + y * 6) 8 + -2y = (-36 + 6y) Solving 8 + -2y = -36 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 8 + -2y + -6y = -36 + 6y + -6y Combine like terms: -2y + -6y = -8y 8 + -8y = -36 + 6y + -6y Combine like terms: 6y + -6y = 0 8 + -8y = -36 + 0 8 + -8y = -36 Add '-8' to each side of the equation. 8 + -8 + -8y = -36 + -8 Combine like terms: 8 + -8 = 0 0 + -8y = -36 + -8 -8y = -36 + -8 Combine like terms: -36 + -8 = -44 -8y = -44 Divide each side by '-8'. y = 5.5 Simplifying y = 5.5
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