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Simplifying -4y + 6 = -2(3x + 6) Reorder the terms: 6 + -4y = -2(3x + 6) Reorder the terms: 6 + -4y = -2(6 + 3x) 6 + -4y = (6 * -2 + 3x * -2) 6 + -4y = (-12 + -6x) Solving 6 + -4y = -12 + -6x 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 + -4y = -12 + -6 + -6x Combine like terms: 6 + -6 = 0 0 + -4y = -12 + -6 + -6x -4y = -12 + -6 + -6x Combine like terms: -12 + -6 = -18 -4y = -18 + -6x Divide each side by '-4'. y = 4.5 + 1.5x Simplifying y = 4.5 + 1.5x
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