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Simplifying 8(2y + -7) + -3(5 + -1y) = 0 Reorder the terms: 8(-7 + 2y) + -3(5 + -1y) = 0 (-7 * 8 + 2y * 8) + -3(5 + -1y) = 0 (-56 + 16y) + -3(5 + -1y) = 0 -56 + 16y + (5 * -3 + -1y * -3) = 0 -56 + 16y + (-15 + 3y) = 0 Reorder the terms: -56 + -15 + 16y + 3y = 0 Combine like terms: -56 + -15 = -71 -71 + 16y + 3y = 0 Combine like terms: 16y + 3y = 19y -71 + 19y = 0 Solving -71 + 19y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '71' to each side of the equation. -71 + 71 + 19y = 0 + 71 Combine like terms: -71 + 71 = 0 0 + 19y = 0 + 71 19y = 0 + 71 Combine like terms: 0 + 71 = 71 19y = 71 Divide each side by '19'. y = 3.736842105 Simplifying y = 3.736842105
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