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Simplifying 4(y + 3) = -2(x + 6) Reorder the terms: 4(3 + y) = -2(x + 6) (3 * 4 + y * 4) = -2(x + 6) (12 + 4y) = -2(x + 6) Reorder the terms: 12 + 4y = -2(6 + x) 12 + 4y = (6 * -2 + x * -2) 12 + 4y = (-12 + -2x) Solving 12 + 4y = -12 + -2x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 4y = -12 + -12 + -2x Combine like terms: 12 + -12 = 0 0 + 4y = -12 + -12 + -2x 4y = -12 + -12 + -2x Combine like terms: -12 + -12 = -24 4y = -24 + -2x Divide each side by '4'. y = -6 + -0.5x Simplifying y = -6 + -0.5x
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