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Simplifying 9y + -43 = -2(y + 5) Reorder the terms: -43 + 9y = -2(y + 5) Reorder the terms: -43 + 9y = -2(5 + y) -43 + 9y = (5 * -2 + y * -2) -43 + 9y = (-10 + -2y) Solving -43 + 9y = -10 + -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 + 9y + 2y = -10 + -2y + 2y Combine like terms: 9y + 2y = 11y -43 + 11y = -10 + -2y + 2y Combine like terms: -2y + 2y = 0 -43 + 11y = -10 + 0 -43 + 11y = -10 Add '43' to each side of the equation. -43 + 43 + 11y = -10 + 43 Combine like terms: -43 + 43 = 0 0 + 11y = -10 + 43 11y = -10 + 43 Combine like terms: -10 + 43 = 33 11y = 33 Divide each side by '11'. y = 3 Simplifying y = 3
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