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Simplifying 5 + 7(2 + -1y) = 3y + 9 5 + (2 * 7 + -1y * 7) = 3y + 9 5 + (14 + -7y) = 3y + 9 Combine like terms: 5 + 14 = 19 19 + -7y = 3y + 9 Reorder the terms: 19 + -7y = 9 + 3y Solving 19 + -7y = 9 + 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. 19 + -7y + -3y = 9 + 3y + -3y Combine like terms: -7y + -3y = -10y 19 + -10y = 9 + 3y + -3y Combine like terms: 3y + -3y = 0 19 + -10y = 9 + 0 19 + -10y = 9 Add '-19' to each side of the equation. 19 + -19 + -10y = 9 + -19 Combine like terms: 19 + -19 = 0 0 + -10y = 9 + -19 -10y = 9 + -19 Combine like terms: 9 + -19 = -10 -10y = -10 Divide each side by '-10'. y = 1 Simplifying y = 1
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