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Simplifying 9(2y + -3) = 5(y + -4) + 7 Reorder the terms: 9(-3 + 2y) = 5(y + -4) + 7 (-3 * 9 + 2y * 9) = 5(y + -4) + 7 (-27 + 18y) = 5(y + -4) + 7 Reorder the terms: -27 + 18y = 5(-4 + y) + 7 -27 + 18y = (-4 * 5 + y * 5) + 7 -27 + 18y = (-20 + 5y) + 7 Reorder the terms: -27 + 18y = -20 + 7 + 5y Combine like terms: -20 + 7 = -13 -27 + 18y = -13 + 5y Solving -27 + 18y = -13 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -27 + 18y + -5y = -13 + 5y + -5y Combine like terms: 18y + -5y = 13y -27 + 13y = -13 + 5y + -5y Combine like terms: 5y + -5y = 0 -27 + 13y = -13 + 0 -27 + 13y = -13 Add '27' to each side of the equation. -27 + 27 + 13y = -13 + 27 Combine like terms: -27 + 27 = 0 0 + 13y = -13 + 27 13y = -13 + 27 Combine like terms: -13 + 27 = 14 13y = 14 Divide each side by '13'. y = 1.076923077 Simplifying y = 1.076923077
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