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Simplifying -6(y + -2) = 2y + -24 Reorder the terms: -6(-2 + y) = 2y + -24 (-2 * -6 + y * -6) = 2y + -24 (12 + -6y) = 2y + -24 Reorder the terms: 12 + -6y = -24 + 2y Solving 12 + -6y = -24 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 12 + -6y + -2y = -24 + 2y + -2y Combine like terms: -6y + -2y = -8y 12 + -8y = -24 + 2y + -2y Combine like terms: 2y + -2y = 0 12 + -8y = -24 + 0 12 + -8y = -24 Add '-12' to each side of the equation. 12 + -12 + -8y = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -8y = -24 + -12 -8y = -24 + -12 Combine like terms: -24 + -12 = -36 -8y = -36 Divide each side by '-8'. y = 4.5 Simplifying y = 4.5
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