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