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Simplifying -6(7 + -2) = 2y + -24 Combine like terms: 7 + -2 = 5 -6(5) = 2y + -24 Multiply -6 * 5 -30 = 2y + -24 Reorder the terms: -30 = -24 + 2y Solving -30 = -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. -30 + -2y = -24 + 2y + -2y Combine like terms: 2y + -2y = 0 -30 + -2y = -24 + 0 -30 + -2y = -24 Add '30' to each side of the equation. -30 + 30 + -2y = -24 + 30 Combine like terms: -30 + 30 = 0 0 + -2y = -24 + 30 -2y = -24 + 30 Combine like terms: -24 + 30 = 6 -2y = 6 Divide each side by '-2'. y = -3 Simplifying y = -3
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