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Simplifying -8(y + 5) = -9y Reorder the terms: -8(5 + y) = -9y (5 * -8 + y * -8) = -9y (-40 + -8y) = -9y Solving -40 + -8y = -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. -40 + -8y + 9y = -9y + 9y Combine like terms: -8y + 9y = 1y -40 + 1y = -9y + 9y Combine like terms: -9y + 9y = 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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