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Simplifying 9(4y + -3) + -12y = 4(27) + 4(5y) Reorder the terms: 9(-3 + 4y) + -12y = 4(27) + 4(5y) (-3 * 9 + 4y * 9) + -12y = 4(27) + 4(5y) (-27 + 36y) + -12y = 4(27) + 4(5y) Combine like terms: 36y + -12y = 24y -27 + 24y = 4(27) + 4(5y) Multiply 4 * 27 -27 + 24y = 108 + 4(5y) Remove parenthesis around (5y) -27 + 24y = 108 + 4 * 5y Multiply 4 * 5 -27 + 24y = 108 + 20y Solving -27 + 24y = 108 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -27 + 24y + -20y = 108 + 20y + -20y Combine like terms: 24y + -20y = 4y -27 + 4y = 108 + 20y + -20y Combine like terms: 20y + -20y = 0 -27 + 4y = 108 + 0 -27 + 4y = 108 Add '27' to each side of the equation. -27 + 27 + 4y = 108 + 27 Combine like terms: -27 + 27 = 0 0 + 4y = 108 + 27 4y = 108 + 27 Combine like terms: 108 + 27 = 135 4y = 135 Divide each side by '4'. y = 33.75 Simplifying y = 33.75
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