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Simplifying -2(y + 3) = -7y + 24 Reorder the terms: -2(3 + y) = -7y + 24 (3 * -2 + y * -2) = -7y + 24 (-6 + -2y) = -7y + 24 Reorder the terms: -6 + -2y = 24 + -7y Solving -6 + -2y = 24 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -6 + -2y + 7y = 24 + -7y + 7y Combine like terms: -2y + 7y = 5y -6 + 5y = 24 + -7y + 7y Combine like terms: -7y + 7y = 0 -6 + 5y = 24 + 0 -6 + 5y = 24 Add '6' to each side of the equation. -6 + 6 + 5y = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 5y = 24 + 6 5y = 24 + 6 Combine like terms: 24 + 6 = 30 5y = 30 Divide each side by '5'. y = 6 Simplifying y = 6
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