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Simplifying -5y + -2(-4y + -7) = 6 + 8(9 + -1y) Reorder the terms: -5y + -2(-7 + -4y) = 6 + 8(9 + -1y) -5y + (-7 * -2 + -4y * -2) = 6 + 8(9 + -1y) -5y + (14 + 8y) = 6 + 8(9 + -1y) Reorder the terms: 14 + -5y + 8y = 6 + 8(9 + -1y) Combine like terms: -5y + 8y = 3y 14 + 3y = 6 + 8(9 + -1y) 14 + 3y = 6 + (9 * 8 + -1y * 8) 14 + 3y = 6 + (72 + -8y) Combine like terms: 6 + 72 = 78 14 + 3y = 78 + -8y Solving 14 + 3y = 78 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 14 + 3y + 8y = 78 + -8y + 8y Combine like terms: 3y + 8y = 11y 14 + 11y = 78 + -8y + 8y Combine like terms: -8y + 8y = 0 14 + 11y = 78 + 0 14 + 11y = 78 Add '-14' to each side of the equation. 14 + -14 + 11y = 78 + -14 Combine like terms: 14 + -14 = 0 0 + 11y = 78 + -14 11y = 78 + -14 Combine like terms: 78 + -14 = 64 11y = 64 Divide each side by '11'. y = 5.818181818 Simplifying y = 5.818181818
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