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Simplifying -4(6y + -9) + -1y = -4(y + -4) Reorder the terms: -4(-9 + 6y) + -1y = -4(y + -4) (-9 * -4 + 6y * -4) + -1y = -4(y + -4) (36 + -24y) + -1y = -4(y + -4) Combine like terms: -24y + -1y = -25y 36 + -25y = -4(y + -4) Reorder the terms: 36 + -25y = -4(-4 + y) 36 + -25y = (-4 * -4 + y * -4) 36 + -25y = (16 + -4y) Solving 36 + -25y = 16 + -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 = 16 + -4y + 4y Combine like terms: -25y + 4y = -21y 36 + -21y = 16 + -4y + 4y Combine like terms: -4y + 4y = 0 36 + -21y = 16 + 0 36 + -21y = 16 Add '-36' to each side of the equation. 36 + -36 + -21y = 16 + -36 Combine like terms: 36 + -36 = 0 0 + -21y = 16 + -36 -21y = 16 + -36 Combine like terms: 16 + -36 = -20 -21y = -20 Divide each side by '-21'. y = 0.9523809524 Simplifying y = 0.9523809524
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