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Simplifying -43 + -4y = 3(1 + -9y) -43 + -4y = (1 * 3 + -9y * 3) -43 + -4y = (3 + -27y) Solving -43 + -4y = 3 + -27y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '27y' to each side of the equation. -43 + -4y + 27y = 3 + -27y + 27y Combine like terms: -4y + 27y = 23y -43 + 23y = 3 + -27y + 27y Combine like terms: -27y + 27y = 0 -43 + 23y = 3 + 0 -43 + 23y = 3 Add '43' to each side of the equation. -43 + 43 + 23y = 3 + 43 Combine like terms: -43 + 43 = 0 0 + 23y = 3 + 43 23y = 3 + 43 Combine like terms: 3 + 43 = 46 23y = 46 Divide each side by '23'. y = 2 Simplifying y = 2
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