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Simplifying 2(3y + -9) + -4(y + -6) = 0 Reorder the terms: 2(-9 + 3y) + -4(y + -6) = 0 (-9 * 2 + 3y * 2) + -4(y + -6) = 0 (-18 + 6y) + -4(y + -6) = 0 Reorder the terms: -18 + 6y + -4(-6 + y) = 0 -18 + 6y + (-6 * -4 + y * -4) = 0 -18 + 6y + (24 + -4y) = 0 Reorder the terms: -18 + 24 + 6y + -4y = 0 Combine like terms: -18 + 24 = 6 6 + 6y + -4y = 0 Combine like terms: 6y + -4y = 2y 6 + 2y = 0 Solving 6 + 2y = 0 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 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 2y = 0 + -6 2y = 0 + -6 Combine like terms: 0 + -6 = -6 2y = -6 Divide each side by '2'. y = -3 Simplifying y = -3
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