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Simplifying -2y + -43 = -7(y + 9) Reorder the terms: -43 + -2y = -7(y + 9) Reorder the terms: -43 + -2y = -7(9 + y) -43 + -2y = (9 * -7 + y * -7) -43 + -2y = (-63 + -7y) Solving -43 + -2y = -63 + -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. -43 + -2y + 7y = -63 + -7y + 7y Combine like terms: -2y + 7y = 5y -43 + 5y = -63 + -7y + 7y Combine like terms: -7y + 7y = 0 -43 + 5y = -63 + 0 -43 + 5y = -63 Add '43' to each side of the equation. -43 + 43 + 5y = -63 + 43 Combine like terms: -43 + 43 = 0 0 + 5y = -63 + 43 5y = -63 + 43 Combine like terms: -63 + 43 = -20 5y = -20 Divide each side by '5'. y = -4 Simplifying y = -4
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