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Simplifying -7Y + 5(y + -8) = -32 Reorder the terms: -7Y + 5(-8 + y) = -32 -7Y + (-8 * 5 + y * 5) = -32 -7Y + (-40 + 5y) = -32 Reorder the terms: -40 + -7Y + 5y = -32 Solving -40 + -7Y + 5y = -32 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '40' to each side of the equation. -40 + -7Y + 40 + 5y = -32 + 40 Reorder the terms: -40 + 40 + -7Y + 5y = -32 + 40 Combine like terms: -40 + 40 = 0 0 + -7Y + 5y = -32 + 40 -7Y + 5y = -32 + 40 Combine like terms: -32 + 40 = 8 -7Y + 5y = 8 Add '-5y' to each side of the equation. -7Y + 5y + -5y = 8 + -5y Combine like terms: 5y + -5y = 0 -7Y + 0 = 8 + -5y -7Y = 8 + -5y Divide each side by '-7'. Y = -1.142857143 + 0.7142857143y Simplifying Y = -1.142857143 + 0.7142857143y
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