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Simplifying 6(7y + -6) = 24y Reorder the terms: 6(-6 + 7y) = 24y (-6 * 6 + 7y * 6) = 24y (-36 + 42y) = 24y Solving -36 + 42y = 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. -36 + 42y + -24y = 24y + -24y Combine like terms: 42y + -24y = 18y -36 + 18y = 24y + -24y Combine like terms: 24y + -24y = 0 -36 + 18y = 0 Add '36' to each side of the equation. -36 + 36 + 18y = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 18y = 0 + 36 18y = 0 + 36 Combine like terms: 0 + 36 = 36 18y = 36 Divide each side by '18'. y = 2 Simplifying y = 2
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