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Simplifying 2y + -6 = -8(7 + y) Reorder the terms: -6 + 2y = -8(7 + y) -6 + 2y = (7 * -8 + y * -8) -6 + 2y = (-56 + -8y) Solving -6 + 2y = -56 + -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. -6 + 2y + 8y = -56 + -8y + 8y Combine like terms: 2y + 8y = 10y -6 + 10y = -56 + -8y + 8y Combine like terms: -8y + 8y = 0 -6 + 10y = -56 + 0 -6 + 10y = -56 Add '6' to each side of the equation. -6 + 6 + 10y = -56 + 6 Combine like terms: -6 + 6 = 0 0 + 10y = -56 + 6 10y = -56 + 6 Combine like terms: -56 + 6 = -50 10y = -50 Divide each side by '10'. y = -5 Simplifying y = -5
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