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Simplifying -4(6y + -9) + -1y = -4(y + -3) Reorder the terms: -4(-9 + 6y) + -1y = -4(y + -3) (-9 * -4 + 6y * -4) + -1y = -4(y + -3) (36 + -24y) + -1y = -4(y + -3) Combine like terms: -24y + -1y = -25y 36 + -25y = -4(y + -3) Reorder the terms: 36 + -25y = -4(-3 + y) 36 + -25y = (-3 * -4 + y * -4) 36 + -25y = (12 + -4y) Solving 36 + -25y = 12 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 36 + -25y + 4y = 12 + -4y + 4y Combine like terms: -25y + 4y = -21y 36 + -21y = 12 + -4y + 4y Combine like terms: -4y + 4y = 0 36 + -21y = 12 + 0 36 + -21y = 12 Add '-36' to each side of the equation. 36 + -36 + -21y = 12 + -36 Combine like terms: 36 + -36 = 0 0 + -21y = 12 + -36 -21y = 12 + -36 Combine like terms: 12 + -36 = -24 -21y = -24 Divide each side by '-21'. y = 1.142857143 Simplifying y = 1.142857143
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