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Simplifying 9(4 + -1y) + -7y = 5(3y + -2) (4 * 9 + -1y * 9) + -7y = 5(3y + -2) (36 + -9y) + -7y = 5(3y + -2) Combine like terms: -9y + -7y = -16y 36 + -16y = 5(3y + -2) Reorder the terms: 36 + -16y = 5(-2 + 3y) 36 + -16y = (-2 * 5 + 3y * 5) 36 + -16y = (-10 + 15y) Solving 36 + -16y = -10 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 36 + -16y + -15y = -10 + 15y + -15y Combine like terms: -16y + -15y = -31y 36 + -31y = -10 + 15y + -15y Combine like terms: 15y + -15y = 0 36 + -31y = -10 + 0 36 + -31y = -10 Add '-36' to each side of the equation. 36 + -36 + -31y = -10 + -36 Combine like terms: 36 + -36 = 0 0 + -31y = -10 + -36 -31y = -10 + -36 Combine like terms: -10 + -36 = -46 -31y = -46 Divide each side by '-31'. y = 1.483870968 Simplifying y = 1.483870968
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