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Simplifying 4(y + 9) = -5(3y + -4) + 9y Reorder the terms: 4(9 + y) = -5(3y + -4) + 9y (9 * 4 + y * 4) = -5(3y + -4) + 9y (36 + 4y) = -5(3y + -4) + 9y Reorder the terms: 36 + 4y = -5(-4 + 3y) + 9y 36 + 4y = (-4 * -5 + 3y * -5) + 9y 36 + 4y = (20 + -15y) + 9y Combine like terms: -15y + 9y = -6y 36 + 4y = 20 + -6y Solving 36 + 4y = 20 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 36 + 4y + 6y = 20 + -6y + 6y Combine like terms: 4y + 6y = 10y 36 + 10y = 20 + -6y + 6y Combine like terms: -6y + 6y = 0 36 + 10y = 20 + 0 36 + 10y = 20 Add '-36' to each side of the equation. 36 + -36 + 10y = 20 + -36 Combine like terms: 36 + -36 = 0 0 + 10y = 20 + -36 10y = 20 + -36 Combine like terms: 20 + -36 = -16 10y = -16 Divide each side by '10'. y = -1.6 Simplifying y = -1.6
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