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Simplifying 7(4y + -7) + -1(2y + 7) = 0 Reorder the terms: 7(-7 + 4y) + -1(2y + 7) = 0 (-7 * 7 + 4y * 7) + -1(2y + 7) = 0 (-49 + 28y) + -1(2y + 7) = 0 Reorder the terms: -49 + 28y + -1(7 + 2y) = 0 -49 + 28y + (7 * -1 + 2y * -1) = 0 -49 + 28y + (-7 + -2y) = 0 Reorder the terms: -49 + -7 + 28y + -2y = 0 Combine like terms: -49 + -7 = -56 -56 + 28y + -2y = 0 Combine like terms: 28y + -2y = 26y -56 + 26y = 0 Solving -56 + 26y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + 26y = 0 + 56 Combine like terms: -56 + 56 = 0 0 + 26y = 0 + 56 26y = 0 + 56 Combine like terms: 0 + 56 = 56 26y = 56 Divide each side by '26'. y = 2.153846154 Simplifying y = 2.153846154
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