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Simplifying -5y + 8(y + -5) = -34 Reorder the terms: -5y + 8(-5 + y) = -34 -5y + (-5 * 8 + y * 8) = -34 -5y + (-40 + 8y) = -34 Reorder the terms: -40 + -5y + 8y = -34 Combine like terms: -5y + 8y = 3y -40 + 3y = -34 Solving -40 + 3y = -34 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 + 40 + 3y = -34 + 40 Combine like terms: -40 + 40 = 0 0 + 3y = -34 + 40 3y = -34 + 40 Combine like terms: -34 + 40 = 6 3y = 6 Divide each side by '3'. y = 2 Simplifying y = 2
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