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Simplifying 7 + -49 = y + 3 + -6y Combine like terms: 7 + -49 = -42 -42 = y + 3 + -6y Reorder the terms: -42 = 3 + y + -6y Combine like terms: y + -6y = -5y -42 = 3 + -5y Solving -42 = 3 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -42 + 5y = 3 + -5y + 5y Combine like terms: -5y + 5y = 0 -42 + 5y = 3 + 0 -42 + 5y = 3 Add '42' to each side of the equation. -42 + 42 + 5y = 3 + 42 Combine like terms: -42 + 42 = 0 0 + 5y = 3 + 42 5y = 3 + 42 Combine like terms: 3 + 42 = 45 5y = 45 Divide each side by '5'. y = 9 Simplifying y = 9
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