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Simplifying 7y + 9 = -3y + 19 Reorder the terms: 9 + 7y = -3y + 19 Reorder the terms: 9 + 7y = 19 + -3y Solving 9 + 7y = 19 + -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. 9 + 7y + 3y = 19 + -3y + 3y Combine like terms: 7y + 3y = 10y 9 + 10y = 19 + -3y + 3y Combine like terms: -3y + 3y = 0 9 + 10y = 19 + 0 9 + 10y = 19 Add '-9' to each side of the equation. 9 + -9 + 10y = 19 + -9 Combine like terms: 9 + -9 = 0 0 + 10y = 19 + -9 10y = 19 + -9 Combine like terms: 19 + -9 = 10 10y = 10 Divide each side by '10'. y = 1 Simplifying y = 1
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