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Simplifying 8(y + -4) + -1(5y + 6) = 0 Reorder the terms: 8(-4 + y) + -1(5y + 6) = 0 (-4 * 8 + y * 8) + -1(5y + 6) = 0 (-32 + 8y) + -1(5y + 6) = 0 Reorder the terms: -32 + 8y + -1(6 + 5y) = 0 -32 + 8y + (6 * -1 + 5y * -1) = 0 -32 + 8y + (-6 + -5y) = 0 Reorder the terms: -32 + -6 + 8y + -5y = 0 Combine like terms: -32 + -6 = -38 -38 + 8y + -5y = 0 Combine like terms: 8y + -5y = 3y -38 + 3y = 0 Solving -38 + 3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 3y = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 3y = 0 + 38 3y = 0 + 38 Combine like terms: 0 + 38 = 38 3y = 38 Divide each side by '3'. y = 12.66666667 Simplifying y = 12.66666667
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