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Simplifying 6(y + -4) = -4(8 + y) Reorder the terms: 6(-4 + y) = -4(8 + y) (-4 * 6 + y * 6) = -4(8 + y) (-24 + 6y) = -4(8 + y) -24 + 6y = (8 * -4 + y * -4) -24 + 6y = (-32 + -4y) Solving -24 + 6y = -32 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -24 + 6y + 4y = -32 + -4y + 4y Combine like terms: 6y + 4y = 10y -24 + 10y = -32 + -4y + 4y Combine like terms: -4y + 4y = 0 -24 + 10y = -32 + 0 -24 + 10y = -32 Add '24' to each side of the equation. -24 + 24 + 10y = -32 + 24 Combine like terms: -24 + 24 = 0 0 + 10y = -32 + 24 10y = -32 + 24 Combine like terms: -32 + 24 = -8 10y = -8 Divide each side by '10'. y = -0.8 Simplifying y = -0.8
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