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Simplifying -6(6y + -4) + 5(3 + -7y) = -68y Reorder the terms: -6(-4 + 6y) + 5(3 + -7y) = -68y (-4 * -6 + 6y * -6) + 5(3 + -7y) = -68y (24 + -36y) + 5(3 + -7y) = -68y 24 + -36y + (3 * 5 + -7y * 5) = -68y 24 + -36y + (15 + -35y) = -68y Reorder the terms: 24 + 15 + -36y + -35y = -68y Combine like terms: 24 + 15 = 39 39 + -36y + -35y = -68y Combine like terms: -36y + -35y = -71y 39 + -71y = -68y Solving 39 + -71y = -68y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '68y' to each side of the equation. 39 + -71y + 68y = -68y + 68y Combine like terms: -71y + 68y = -3y 39 + -3y = -68y + 68y Combine like terms: -68y + 68y = 0 39 + -3y = 0 Add '-39' to each side of the equation. 39 + -39 + -3y = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -3y = 0 + -39 -3y = 0 + -39 Combine like terms: 0 + -39 = -39 -3y = -39 Divide each side by '-3'. y = 13 Simplifying y = 13
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