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Simplifying 7(y + -5) + -1(3y + 2) + -6(8y + -4) = 0 Reorder the terms: 7(-5 + y) + -1(3y + 2) + -6(8y + -4) = 0 (-5 * 7 + y * 7) + -1(3y + 2) + -6(8y + -4) = 0 (-35 + 7y) + -1(3y + 2) + -6(8y + -4) = 0 Reorder the terms: -35 + 7y + -1(2 + 3y) + -6(8y + -4) = 0 -35 + 7y + (2 * -1 + 3y * -1) + -6(8y + -4) = 0 -35 + 7y + (-2 + -3y) + -6(8y + -4) = 0 Reorder the terms: -35 + 7y + -2 + -3y + -6(-4 + 8y) = 0 -35 + 7y + -2 + -3y + (-4 * -6 + 8y * -6) = 0 -35 + 7y + -2 + -3y + (24 + -48y) = 0 Reorder the terms: -35 + -2 + 24 + 7y + -3y + -48y = 0 Combine like terms: -35 + -2 = -37 -37 + 24 + 7y + -3y + -48y = 0 Combine like terms: -37 + 24 = -13 -13 + 7y + -3y + -48y = 0 Combine like terms: 7y + -3y = 4y -13 + 4y + -48y = 0 Combine like terms: 4y + -48y = -44y -13 + -44y = 0 Solving -13 + -44y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -44y = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -44y = 0 + 13 -44y = 0 + 13 Combine like terms: 0 + 13 = 13 -44y = 13 Divide each side by '-44'. y = -0.2954545455 Simplifying y = -0.2954545455
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