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Simplifying 7y + -43 = -2(y + 8) Reorder the terms: -43 + 7y = -2(y + 8) Reorder the terms: -43 + 7y = -2(8 + y) -43 + 7y = (8 * -2 + y * -2) -43 + 7y = (-16 + -2y) Solving -43 + 7y = -16 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -43 + 7y + 2y = -16 + -2y + 2y Combine like terms: 7y + 2y = 9y -43 + 9y = -16 + -2y + 2y Combine like terms: -2y + 2y = 0 -43 + 9y = -16 + 0 -43 + 9y = -16 Add '43' to each side of the equation. -43 + 43 + 9y = -16 + 43 Combine like terms: -43 + 43 = 0 0 + 9y = -16 + 43 9y = -16 + 43 Combine like terms: -16 + 43 = 27 9y = 27 Divide each side by '9'. y = 3 Simplifying y = 3
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