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Simplifying 2(y + -6) = -8(5 + y) Reorder the terms: 2(-6 + y) = -8(5 + y) (-6 * 2 + y * 2) = -8(5 + y) (-12 + 2y) = -8(5 + y) -12 + 2y = (5 * -8 + y * -8) -12 + 2y = (-40 + -8y) Solving -12 + 2y = -40 + -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. -12 + 2y + 8y = -40 + -8y + 8y Combine like terms: 2y + 8y = 10y -12 + 10y = -40 + -8y + 8y Combine like terms: -8y + 8y = 0 -12 + 10y = -40 + 0 -12 + 10y = -40 Add '12' to each side of the equation. -12 + 12 + 10y = -40 + 12 Combine like terms: -12 + 12 = 0 0 + 10y = -40 + 12 10y = -40 + 12 Combine like terms: -40 + 12 = -28 10y = -28 Divide each side by '10'. y = -2.8 Simplifying y = -2.8
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