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Simplifying 9(y + 1) = 2(y + 3) Reorder the terms: 9(1 + y) = 2(y + 3) (1 * 9 + y * 9) = 2(y + 3) (9 + 9y) = 2(y + 3) Reorder the terms: 9 + 9y = 2(3 + y) 9 + 9y = (3 * 2 + y * 2) 9 + 9y = (6 + 2y) Solving 9 + 9y = 6 + 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. 9 + 9y + -2y = 6 + 2y + -2y Combine like terms: 9y + -2y = 7y 9 + 7y = 6 + 2y + -2y Combine like terms: 2y + -2y = 0 9 + 7y = 6 + 0 9 + 7y = 6 Add '-9' to each side of the equation. 9 + -9 + 7y = 6 + -9 Combine like terms: 9 + -9 = 0 0 + 7y = 6 + -9 7y = 6 + -9 Combine like terms: 6 + -9 = -3 7y = -3 Divide each side by '7'. y = -0.4285714286 Simplifying y = -0.4285714286
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