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Simplifying 2y + -24 = -6(y + 8) Reorder the terms: -24 + 2y = -6(y + 8) Reorder the terms: -24 + 2y = -6(8 + y) -24 + 2y = (8 * -6 + y * -6) -24 + 2y = (-48 + -6y) Solving -24 + 2y = -48 + -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. -24 + 2y + 6y = -48 + -6y + 6y Combine like terms: 2y + 6y = 8y -24 + 8y = -48 + -6y + 6y Combine like terms: -6y + 6y = 0 -24 + 8y = -48 + 0 -24 + 8y = -48 Add '24' to each side of the equation. -24 + 24 + 8y = -48 + 24 Combine like terms: -24 + 24 = 0 0 + 8y = -48 + 24 8y = -48 + 24 Combine like terms: -48 + 24 = -24 8y = -24 Divide each side by '8'. y = -3 Simplifying y = -3
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