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Simplifying -9(y + 3) = -7y + -43 Reorder the terms: -9(3 + y) = -7y + -43 (3 * -9 + y * -9) = -7y + -43 (-27 + -9y) = -7y + -43 Reorder the terms: -27 + -9y = -43 + -7y Solving -27 + -9y = -43 + -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 + -9y + 7y = -43 + -7y + 7y Combine like terms: -9y + 7y = -2y -27 + -2y = -43 + -7y + 7y Combine like terms: -7y + 7y = 0 -27 + -2y = -43 + 0 -27 + -2y = -43 Add '27' to each side of the equation. -27 + 27 + -2y = -43 + 27 Combine like terms: -27 + 27 = 0 0 + -2y = -43 + 27 -2y = -43 + 27 Combine like terms: -43 + 27 = -16 -2y = -16 Divide each side by '-2'. y = 8 Simplifying y = 8
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