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Simplifying 2(y + -4) = -8(3 + y) Reorder the terms: 2(-4 + y) = -8(3 + y) (-4 * 2 + y * 2) = -8(3 + y) (-8 + 2y) = -8(3 + y) -8 + 2y = (3 * -8 + y * -8) -8 + 2y = (-24 + -8y) Solving -8 + 2y = -24 + -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. -8 + 2y + 8y = -24 + -8y + 8y Combine like terms: 2y + 8y = 10y -8 + 10y = -24 + -8y + 8y Combine like terms: -8y + 8y = 0 -8 + 10y = -24 + 0 -8 + 10y = -24 Add '8' to each side of the equation. -8 + 8 + 10y = -24 + 8 Combine like terms: -8 + 8 = 0 0 + 10y = -24 + 8 10y = -24 + 8 Combine like terms: -24 + 8 = -16 10y = -16 Divide each side by '10'. y = -1.6 Simplifying y = -1.6
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