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Simplifying 2y + 6 = 9(y + 3) Reorder the terms: 6 + 2y = 9(y + 3) Reorder the terms: 6 + 2y = 9(3 + y) 6 + 2y = (3 * 9 + y * 9) 6 + 2y = (27 + 9y) Solving 6 + 2y = 27 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 6 + 2y + -9y = 27 + 9y + -9y Combine like terms: 2y + -9y = -7y 6 + -7y = 27 + 9y + -9y Combine like terms: 9y + -9y = 0 6 + -7y = 27 + 0 6 + -7y = 27 Add '-6' to each side of the equation. 6 + -6 + -7y = 27 + -6 Combine like terms: 6 + -6 = 0 0 + -7y = 27 + -6 -7y = 27 + -6 Combine like terms: 27 + -6 = 21 -7y = 21 Divide each side by '-7'. y = -3 Simplifying y = -3
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