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Simplifying 2y + -1 = 5 + -8(y + 5) Reorder the terms: -1 + 2y = 5 + -8(y + 5) Reorder the terms: -1 + 2y = 5 + -8(5 + y) -1 + 2y = 5 + (5 * -8 + y * -8) -1 + 2y = 5 + (-40 + -8y) Combine like terms: 5 + -40 = -35 -1 + 2y = -35 + -8y Solving -1 + 2y = -35 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -1 + 2y + 8y = -35 + -8y + 8y Combine like terms: 2y + 8y = 10y -1 + 10y = -35 + -8y + 8y Combine like terms: -8y + 8y = 0 -1 + 10y = -35 + 0 -1 + 10y = -35 Add '1' to each side of the equation. -1 + 1 + 10y = -35 + 1 Combine like terms: -1 + 1 = 0 0 + 10y = -35 + 1 10y = -35 + 1 Combine like terms: -35 + 1 = -34 10y = -34 Divide each side by '10'. y = -3.4 Simplifying y = -3.4
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