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Simplifying 7(y + -8) + 24 = 10 Reorder the terms: 7(-8 + y) + 24 = 10 (-8 * 7 + y * 7) + 24 = 10 (-56 + 7y) + 24 = 10 Reorder the terms: -56 + 24 + 7y = 10 Combine like terms: -56 + 24 = -32 -32 + 7y = 10 Solving -32 + 7y = 10 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 7y = 10 + 32 Combine like terms: -32 + 32 = 0 0 + 7y = 10 + 32 7y = 10 + 32 Combine like terms: 10 + 32 = 42 7y = 42 Divide each side by '7'. y = 6 Simplifying y = 6
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