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Simplifying -4(6y + -9) + -1y = -3(y + -4) Reorder the terms: -4(-9 + 6y) + -1y = -3(y + -4) (-9 * -4 + 6y * -4) + -1y = -3(y + -4) (36 + -24y) + -1y = -3(y + -4) Combine like terms: -24y + -1y = -25y 36 + -25y = -3(y + -4) Reorder the terms: 36 + -25y = -3(-4 + y) 36 + -25y = (-4 * -3 + y * -3) 36 + -25y = (12 + -3y) Solving 36 + -25y = 12 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 36 + -25y + 3y = 12 + -3y + 3y Combine like terms: -25y + 3y = -22y 36 + -22y = 12 + -3y + 3y Combine like terms: -3y + 3y = 0 36 + -22y = 12 + 0 36 + -22y = 12 Add '-36' to each side of the equation. 36 + -36 + -22y = 12 + -36 Combine like terms: 36 + -36 = 0 0 + -22y = 12 + -36 -22y = 12 + -36 Combine like terms: 12 + -36 = -24 -22y = -24 Divide each side by '-22'. y = 1.090909091 Simplifying y = 1.090909091
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