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Simplifying 3(-2y + 9) + -4y = -43 Reorder the terms: 3(9 + -2y) + -4y = -43 (9 * 3 + -2y * 3) + -4y = -43 (27 + -6y) + -4y = -43 Combine like terms: -6y + -4y = -10y 27 + -10y = -43 Solving 27 + -10y = -43 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -10y = -43 + -27 Combine like terms: 27 + -27 = 0 0 + -10y = -43 + -27 -10y = -43 + -27 Combine like terms: -43 + -27 = -70 -10y = -70 Divide each side by '-10'. y = 7 Simplifying y = 7
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