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Simplifying 9y + 19 = 2(y + 6) Reorder the terms: 19 + 9y = 2(y + 6) Reorder the terms: 19 + 9y = 2(6 + y) 19 + 9y = (6 * 2 + y * 2) 19 + 9y = (12 + 2y) Solving 19 + 9y = 12 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 19 + 9y + -2y = 12 + 2y + -2y Combine like terms: 9y + -2y = 7y 19 + 7y = 12 + 2y + -2y Combine like terms: 2y + -2y = 0 19 + 7y = 12 + 0 19 + 7y = 12 Add '-19' to each side of the equation. 19 + -19 + 7y = 12 + -19 Combine like terms: 19 + -19 = 0 0 + 7y = 12 + -19 7y = 12 + -19 Combine like terms: 12 + -19 = -7 7y = -7 Divide each side by '7'. y = -1 Simplifying y = -1
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