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