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