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Simplifying 8(5y + -7) + -1(4y + 4) = 0 Reorder the terms: 8(-7 + 5y) + -1(4y + 4) = 0 (-7 * 8 + 5y * 8) + -1(4y + 4) = 0 (-56 + 40y) + -1(4y + 4) = 0 Reorder the terms: -56 + 40y + -1(4 + 4y) = 0 -56 + 40y + (4 * -1 + 4y * -1) = 0 -56 + 40y + (-4 + -4y) = 0 Reorder the terms: -56 + -4 + 40y + -4y = 0 Combine like terms: -56 + -4 = -60 -60 + 40y + -4y = 0 Combine like terms: 40y + -4y = 36y -60 + 36y = 0 Solving -60 + 36y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + 36y = 0 + 60 Combine like terms: -60 + 60 = 0 0 + 36y = 0 + 60 36y = 0 + 60 Combine like terms: 0 + 60 = 60 36y = 60 Divide each side by '36'. y = 1.666666667 Simplifying y = 1.666666667
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