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Simplifying 3(2y + -2) + -4(y + -2) = 0 Reorder the terms: 3(-2 + 2y) + -4(y + -2) = 0 (-2 * 3 + 2y * 3) + -4(y + -2) = 0 (-6 + 6y) + -4(y + -2) = 0 Reorder the terms: -6 + 6y + -4(-2 + y) = 0 -6 + 6y + (-2 * -4 + y * -4) = 0 -6 + 6y + (8 + -4y) = 0 Reorder the terms: -6 + 8 + 6y + -4y = 0 Combine like terms: -6 + 8 = 2 2 + 6y + -4y = 0 Combine like terms: 6y + -4y = 2y 2 + 2y = 0 Solving 2 + 2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2y = 0 + -2 2y = 0 + -2 Combine like terms: 0 + -2 = -2 2y = -2 Divide each side by '2'. y = -1 Simplifying y = -1
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