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Simplifying 9(3y + 7) + -2 = 3(-9y + 9) Reorder the terms: 9(7 + 3y) + -2 = 3(-9y + 9) (7 * 9 + 3y * 9) + -2 = 3(-9y + 9) (63 + 27y) + -2 = 3(-9y + 9) Reorder the terms: 63 + -2 + 27y = 3(-9y + 9) Combine like terms: 63 + -2 = 61 61 + 27y = 3(-9y + 9) Reorder the terms: 61 + 27y = 3(9 + -9y) 61 + 27y = (9 * 3 + -9y * 3) 61 + 27y = (27 + -27y) Solving 61 + 27y = 27 + -27y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '27y' to each side of the equation. 61 + 27y + 27y = 27 + -27y + 27y Combine like terms: 27y + 27y = 54y 61 + 54y = 27 + -27y + 27y Combine like terms: -27y + 27y = 0 61 + 54y = 27 + 0 61 + 54y = 27 Add '-61' to each side of the equation. 61 + -61 + 54y = 27 + -61 Combine like terms: 61 + -61 = 0 0 + 54y = 27 + -61 54y = 27 + -61 Combine like terms: 27 + -61 = -34 54y = -34 Divide each side by '54'. y = -0.6296296296 Simplifying y = -0.6296296296
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