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Simplifying 2(y + -5) = -8(6 + y) Reorder the terms: 2(-5 + y) = -8(6 + y) (-5 * 2 + y * 2) = -8(6 + y) (-10 + 2y) = -8(6 + y) -10 + 2y = (6 * -8 + y * -8) -10 + 2y = (-48 + -8y) Solving -10 + 2y = -48 + -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. -10 + 2y + 8y = -48 + -8y + 8y Combine like terms: 2y + 8y = 10y -10 + 10y = -48 + -8y + 8y Combine like terms: -8y + 8y = 0 -10 + 10y = -48 + 0 -10 + 10y = -48 Add '10' to each side of the equation. -10 + 10 + 10y = -48 + 10 Combine like terms: -10 + 10 = 0 0 + 10y = -48 + 10 10y = -48 + 10 Combine like terms: -48 + 10 = -38 10y = -38 Divide each side by '10'. y = -3.8 Simplifying y = -3.8
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