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Simplifying -6(4y + 3) + 6(y + -3) = 0 Reorder the terms: -6(3 + 4y) + 6(y + -3) = 0 (3 * -6 + 4y * -6) + 6(y + -3) = 0 (-18 + -24y) + 6(y + -3) = 0 Reorder the terms: -18 + -24y + 6(-3 + y) = 0 -18 + -24y + (-3 * 6 + y * 6) = 0 -18 + -24y + (-18 + 6y) = 0 Reorder the terms: -18 + -18 + -24y + 6y = 0 Combine like terms: -18 + -18 = -36 -36 + -24y + 6y = 0 Combine like terms: -24y + 6y = -18y -36 + -18y = 0 Solving -36 + -18y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -18y = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -18y = 0 + 36 -18y = 0 + 36 Combine like terms: 0 + 36 = 36 -18y = 36 Divide each side by '-18'. y = -2 Simplifying y = -2
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