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Simplifying 2(3y + -4) + -4(y + -3) = 0 Reorder the terms: 2(-4 + 3y) + -4(y + -3) = 0 (-4 * 2 + 3y * 2) + -4(y + -3) = 0 (-8 + 6y) + -4(y + -3) = 0 Reorder the terms: -8 + 6y + -4(-3 + y) = 0 -8 + 6y + (-3 * -4 + y * -4) = 0 -8 + 6y + (12 + -4y) = 0 Reorder the terms: -8 + 12 + 6y + -4y = 0 Combine like terms: -8 + 12 = 4 4 + 6y + -4y = 0 Combine like terms: 6y + -4y = 2y 4 + 2y = 0 Solving 4 + 2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 2y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2y = 0 + -4 2y = 0 + -4 Combine like terms: 0 + -4 = -4 2y = -4 Divide each side by '2'. y = -2 Simplifying y = -2
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