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Simplifying 4(2y + -2) + -1(7y + 6) = 0 Reorder the terms: 4(-2 + 2y) + -1(7y + 6) = 0 (-2 * 4 + 2y * 4) + -1(7y + 6) = 0 (-8 + 8y) + -1(7y + 6) = 0 Reorder the terms: -8 + 8y + -1(6 + 7y) = 0 -8 + 8y + (6 * -1 + 7y * -1) = 0 -8 + 8y + (-6 + -7y) = 0 Reorder the terms: -8 + -6 + 8y + -7y = 0 Combine like terms: -8 + -6 = -14 -14 + 8y + -7y = 0 Combine like terms: 8y + -7y = 1y -14 + 1y = 0 Solving -14 + 1y = 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 + 1y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 1y = 0 + 14 1y = 0 + 14 Combine like terms: 0 + 14 = 14 1y = 14 Divide each side by '1'. y = 14 Simplifying y = 14
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