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Simplifying 2(2y + -3) + -2(y + 4) = 0 Reorder the terms: 2(-3 + 2y) + -2(y + 4) = 0 (-3 * 2 + 2y * 2) + -2(y + 4) = 0 (-6 + 4y) + -2(y + 4) = 0 Reorder the terms: -6 + 4y + -2(4 + y) = 0 -6 + 4y + (4 * -2 + y * -2) = 0 -6 + 4y + (-8 + -2y) = 0 Reorder the terms: -6 + -8 + 4y + -2y = 0 Combine like terms: -6 + -8 = -14 -14 + 4y + -2y = 0 Combine like terms: 4y + -2y = 2y -14 + 2y = 0 Solving -14 + 2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 2y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 2y = 0 + 14 2y = 0 + 14 Combine like terms: 0 + 14 = 14 2y = 14 Divide each side by '2'. y = 7 Simplifying y = 7
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