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Simplifying 9(4y + -3) + -12y = 4(27y + 5y) Reorder the terms: 9(-3 + 4y) + -12y = 4(27y + 5y) (-3 * 9 + 4y * 9) + -12y = 4(27y + 5y) (-27 + 36y) + -12y = 4(27y + 5y) Combine like terms: 36y + -12y = 24y -27 + 24y = 4(27y + 5y) Combine like terms: 27y + 5y = 32y -27 + 24y = 4(32y) Remove parenthesis around (32y) -27 + 24y = 4 * 32y Multiply 4 * 32 -27 + 24y = 128y Solving -27 + 24y = 128y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-128y' to each side of the equation. -27 + 24y + -128y = 128y + -128y Combine like terms: 24y + -128y = -104y -27 + -104y = 128y + -128y Combine like terms: 128y + -128y = 0 -27 + -104y = 0 Add '27' to each side of the equation. -27 + 27 + -104y = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -104y = 0 + 27 -104y = 0 + 27 Combine like terms: 0 + 27 = 27 -104y = 27 Divide each side by '-104'. y = -0.2596153846 Simplifying y = -0.2596153846
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