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Simplifying 7(y + -8) = 7t + 42 Reorder the terms: 7(-8 + y) = 7t + 42 (-8 * 7 + y * 7) = 7t + 42 (-56 + 7y) = 7t + 42 Reorder the terms: -56 + 7y = 42 + 7t Solving -56 + 7y = 42 + 7t Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + 7y = 42 + 56 + 7t Combine like terms: -56 + 56 = 0 0 + 7y = 42 + 56 + 7t 7y = 42 + 56 + 7t Combine like terms: 42 + 56 = 98 7y = 98 + 7t Divide each side by '7'. y = 14 + t Simplifying y = 14 + t
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