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Simplifying 3y + 7(y + -6) = 38 Reorder the terms: 3y + 7(-6 + y) = 38 3y + (-6 * 7 + y * 7) = 38 3y + (-42 + 7y) = 38 Reorder the terms: -42 + 3y + 7y = 38 Combine like terms: 3y + 7y = 10y -42 + 10y = 38 Solving -42 + 10y = 38 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 10y = 38 + 42 Combine like terms: -42 + 42 = 0 0 + 10y = 38 + 42 10y = 38 + 42 Combine like terms: 38 + 42 = 80 10y = 80 Divide each side by '10'. y = 8 Simplifying y = 8
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