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Simplifying -4(6y + -3) + -1y = -4(y + -5) Reorder the terms: -4(-3 + 6y) + -1y = -4(y + -5) (-3 * -4 + 6y * -4) + -1y = -4(y + -5) (12 + -24y) + -1y = -4(y + -5) Combine like terms: -24y + -1y = -25y 12 + -25y = -4(y + -5) Reorder the terms: 12 + -25y = -4(-5 + y) 12 + -25y = (-5 * -4 + y * -4) 12 + -25y = (20 + -4y) Solving 12 + -25y = 20 + -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. 12 + -25y + 4y = 20 + -4y + 4y Combine like terms: -25y + 4y = -21y 12 + -21y = 20 + -4y + 4y Combine like terms: -4y + 4y = 0 12 + -21y = 20 + 0 12 + -21y = 20 Add '-12' to each side of the equation. 12 + -12 + -21y = 20 + -12 Combine like terms: 12 + -12 = 0 0 + -21y = 20 + -12 -21y = 20 + -12 Combine like terms: 20 + -12 = 8 -21y = 8 Divide each side by '-21'. y = -0.380952381 Simplifying y = -0.380952381
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