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Simplifying 8(y + -7) + -1(5y + 3) + -7(6y + -5) = 0 Reorder the terms: 8(-7 + y) + -1(5y + 3) + -7(6y + -5) = 0 (-7 * 8 + y * 8) + -1(5y + 3) + -7(6y + -5) = 0 (-56 + 8y) + -1(5y + 3) + -7(6y + -5) = 0 Reorder the terms: -56 + 8y + -1(3 + 5y) + -7(6y + -5) = 0 -56 + 8y + (3 * -1 + 5y * -1) + -7(6y + -5) = 0 -56 + 8y + (-3 + -5y) + -7(6y + -5) = 0 Reorder the terms: -56 + 8y + -3 + -5y + -7(-5 + 6y) = 0 -56 + 8y + -3 + -5y + (-5 * -7 + 6y * -7) = 0 -56 + 8y + -3 + -5y + (35 + -42y) = 0 Reorder the terms: -56 + -3 + 35 + 8y + -5y + -42y = 0 Combine like terms: -56 + -3 = -59 -59 + 35 + 8y + -5y + -42y = 0 Combine like terms: -59 + 35 = -24 -24 + 8y + -5y + -42y = 0 Combine like terms: 8y + -5y = 3y -24 + 3y + -42y = 0 Combine like terms: 3y + -42y = -39y -24 + -39y = 0 Solving -24 + -39y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -39y = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -39y = 0 + 24 -39y = 0 + 24 Combine like terms: 0 + 24 = 24 -39y = 24 Divide each side by '-39'. y = -0.6153846154 Simplifying y = -0.6153846154
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