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