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Simplifying 7y + -8 = 42 + -3y Reorder the terms: -8 + 7y = 42 + -3y Solving -8 + 7y = 42 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -8 + 7y + 3y = 42 + -3y + 3y Combine like terms: 7y + 3y = 10y -8 + 10y = 42 + -3y + 3y Combine like terms: -3y + 3y = 0 -8 + 10y = 42 + 0 -8 + 10y = 42 Add '8' to each side of the equation. -8 + 8 + 10y = 42 + 8 Combine like terms: -8 + 8 = 0 0 + 10y = 42 + 8 10y = 42 + 8 Combine like terms: 42 + 8 = 50 10y = 50 Divide each side by '10'. y = 5 Simplifying y = 5
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