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Simplifying 5(y + -8) = 3 + -1(2y + 9) Reorder the terms: 5(-8 + y) = 3 + -1(2y + 9) (-8 * 5 + y * 5) = 3 + -1(2y + 9) (-40 + 5y) = 3 + -1(2y + 9) Reorder the terms: -40 + 5y = 3 + -1(9 + 2y) -40 + 5y = 3 + (9 * -1 + 2y * -1) -40 + 5y = 3 + (-9 + -2y) Combine like terms: 3 + -9 = -6 -40 + 5y = -6 + -2y Solving -40 + 5y = -6 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -40 + 5y + 2y = -6 + -2y + 2y Combine like terms: 5y + 2y = 7y -40 + 7y = -6 + -2y + 2y Combine like terms: -2y + 2y = 0 -40 + 7y = -6 + 0 -40 + 7y = -6 Add '40' to each side of the equation. -40 + 40 + 7y = -6 + 40 Combine like terms: -40 + 40 = 0 0 + 7y = -6 + 40 7y = -6 + 40 Combine like terms: -6 + 40 = 34 7y = 34 Divide each side by '7'. y = 4.857142857 Simplifying y = 4.857142857
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