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Simplifying 7(4y + -8) + -1(9y + 6) = 0 Reorder the terms: 7(-8 + 4y) + -1(9y + 6) = 0 (-8 * 7 + 4y * 7) + -1(9y + 6) = 0 (-56 + 28y) + -1(9y + 6) = 0 Reorder the terms: -56 + 28y + -1(6 + 9y) = 0 -56 + 28y + (6 * -1 + 9y * -1) = 0 -56 + 28y + (-6 + -9y) = 0 Reorder the terms: -56 + -6 + 28y + -9y = 0 Combine like terms: -56 + -6 = -62 -62 + 28y + -9y = 0 Combine like terms: 28y + -9y = 19y -62 + 19y = 0 Solving -62 + 19y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '62' to each side of the equation. -62 + 62 + 19y = 0 + 62 Combine like terms: -62 + 62 = 0 0 + 19y = 0 + 62 19y = 0 + 62 Combine like terms: 0 + 62 = 62 19y = 62 Divide each side by '19'. y = 3.263157895 Simplifying y = 3.263157895
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