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Simplifying 8(3y + -7) + -1(4y + 8) = 0 Reorder the terms: 8(-7 + 3y) + -1(4y + 8) = 0 (-7 * 8 + 3y * 8) + -1(4y + 8) = 0 (-56 + 24y) + -1(4y + 8) = 0 Reorder the terms: -56 + 24y + -1(8 + 4y) = 0 -56 + 24y + (8 * -1 + 4y * -1) = 0 -56 + 24y + (-8 + -4y) = 0 Reorder the terms: -56 + -8 + 24y + -4y = 0 Combine like terms: -56 + -8 = -64 -64 + 24y + -4y = 0 Combine like terms: 24y + -4y = 20y -64 + 20y = 0 Solving -64 + 20y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + 20y = 0 + 64 Combine like terms: -64 + 64 = 0 0 + 20y = 0 + 64 20y = 0 + 64 Combine like terms: 0 + 64 = 64 20y = 64 Divide each side by '20'. y = 3.2 Simplifying y = 3.2
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