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Simplifying -8(y + 5) = 9y + 11 Reorder the terms: -8(5 + y) = 9y + 11 (5 * -8 + y * -8) = 9y + 11 (-40 + -8y) = 9y + 11 Reorder the terms: -40 + -8y = 11 + 9y Solving -40 + -8y = 11 + 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 = 11 + 9y + -9y Combine like terms: -8y + -9y = -17y -40 + -17y = 11 + 9y + -9y Combine like terms: 9y + -9y = 0 -40 + -17y = 11 + 0 -40 + -17y = 11 Add '40' to each side of the equation. -40 + 40 + -17y = 11 + 40 Combine like terms: -40 + 40 = 0 0 + -17y = 11 + 40 -17y = 11 + 40 Combine like terms: 11 + 40 = 51 -17y = 51 Divide each side by '-17'. y = -3 Simplifying y = -3
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