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Simplifying 4(y + 3) = 6(x + -1) Reorder the terms: 4(3 + y) = 6(x + -1) (3 * 4 + y * 4) = 6(x + -1) (12 + 4y) = 6(x + -1) Reorder the terms: 12 + 4y = 6(-1 + x) 12 + 4y = (-1 * 6 + x * 6) 12 + 4y = (-6 + 6x) Solving 12 + 4y = -6 + 6x 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 = -6 + -12 + 6x Combine like terms: 12 + -12 = 0 0 + 4y = -6 + -12 + 6x 4y = -6 + -12 + 6x Combine like terms: -6 + -12 = -18 4y = -18 + 6x Divide each side by '4'. y = -4.5 + 1.5x Simplifying y = -4.5 + 1.5x
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