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Simplifying -5(3y + -4) + 9y = 6(y + 5) Reorder the terms: -5(-4 + 3y) + 9y = 6(y + 5) (-4 * -5 + 3y * -5) + 9y = 6(y + 5) (20 + -15y) + 9y = 6(y + 5) Combine like terms: -15y + 9y = -6y 20 + -6y = 6(y + 5) Reorder the terms: 20 + -6y = 6(5 + y) 20 + -6y = (5 * 6 + y * 6) 20 + -6y = (30 + 6y) Solving 20 + -6y = 30 + 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. 20 + -6y + -6y = 30 + 6y + -6y Combine like terms: -6y + -6y = -12y 20 + -12y = 30 + 6y + -6y Combine like terms: 6y + -6y = 0 20 + -12y = 30 + 0 20 + -12y = 30 Add '-20' to each side of the equation. 20 + -20 + -12y = 30 + -20 Combine like terms: 20 + -20 = 0 0 + -12y = 30 + -20 -12y = 30 + -20 Combine like terms: 30 + -20 = 10 -12y = 10 Divide each side by '-12'. y = -0.8333333333 Simplifying y = -0.8333333333
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