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Simplifying 3(y + -9) = -7(4 + y) Reorder the terms: 3(-9 + y) = -7(4 + y) (-9 * 3 + y * 3) = -7(4 + y) (-27 + 3y) = -7(4 + y) -27 + 3y = (4 * -7 + y * -7) -27 + 3y = (-28 + -7y) Solving -27 + 3y = -28 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -27 + 3y + 7y = -28 + -7y + 7y Combine like terms: 3y + 7y = 10y -27 + 10y = -28 + -7y + 7y Combine like terms: -7y + 7y = 0 -27 + 10y = -28 + 0 -27 + 10y = -28 Add '27' to each side of the equation. -27 + 27 + 10y = -28 + 27 Combine like terms: -27 + 27 = 0 0 + 10y = -28 + 27 10y = -28 + 27 Combine like terms: -28 + 27 = -1 10y = -1 Divide each side by '10'. y = -0.1 Simplifying y = -0.1
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