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Simplifying 10y + -1(5y + 8) = 42 Reorder the terms: 10y + -1(8 + 5y) = 42 10y + (8 * -1 + 5y * -1) = 42 10y + (-8 + -5y) = 42 Reorder the terms: -8 + 10y + -5y = 42 Combine like terms: 10y + -5y = 5y -8 + 5y = 42 Solving -8 + 5y = 42 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5y = 42 + 8 Combine like terms: -8 + 8 = 0 0 + 5y = 42 + 8 5y = 42 + 8 Combine like terms: 42 + 8 = 50 5y = 50 Divide each side by '5'. y = 10 Simplifying y = 10
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