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Simplifying 2(y + 3) = 8 + 4(x + -6) Reorder the terms: 2(3 + y) = 8 + 4(x + -6) (3 * 2 + y * 2) = 8 + 4(x + -6) (6 + 2y) = 8 + 4(x + -6) Reorder the terms: 6 + 2y = 8 + 4(-6 + x) 6 + 2y = 8 + (-6 * 4 + x * 4) 6 + 2y = 8 + (-24 + 4x) Combine like terms: 8 + -24 = -16 6 + 2y = -16 + 4x Solving 6 + 2y = -16 + 4x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 2y = -16 + -6 + 4x Combine like terms: 6 + -6 = 0 0 + 2y = -16 + -6 + 4x 2y = -16 + -6 + 4x Combine like terms: -16 + -6 = -22 2y = -22 + 4x Divide each side by '2'. y = -11 + 2x Simplifying y = -11 + 2x
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