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Simplifying -6(y + -8) = 8 + -5y Reorder the terms: -6(-8 + y) = 8 + -5y (-8 * -6 + y * -6) = 8 + -5y (48 + -6y) = 8 + -5y Solving 48 + -6y = 8 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 48 + -6y + 5y = 8 + -5y + 5y Combine like terms: -6y + 5y = -1y 48 + -1y = 8 + -5y + 5y Combine like terms: -5y + 5y = 0 48 + -1y = 8 + 0 48 + -1y = 8 Add '-48' to each side of the equation. 48 + -48 + -1y = 8 + -48 Combine like terms: 48 + -48 = 0 0 + -1y = 8 + -48 -1y = 8 + -48 Combine like terms: 8 + -48 = -40 -1y = -40 Divide each side by '-1'. y = 40 Simplifying y = 40
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