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Simplifying -4(6y + -3) + -1y = -3(y + -4) Reorder the terms: -4(-3 + 6y) + -1y = -3(y + -4) (-3 * -4 + 6y * -4) + -1y = -3(y + -4) (12 + -24y) + -1y = -3(y + -4) Combine like terms: -24y + -1y = -25y 12 + -25y = -3(y + -4) Reorder the terms: 12 + -25y = -3(-4 + y) 12 + -25y = (-4 * -3 + y * -3) 12 + -25y = (12 + -3y) Add '-12' to each side of the equation. 12 + -12 + -25y = 12 + -12 + -3y Combine like terms: 12 + -12 = 0 0 + -25y = 12 + -12 + -3y -25y = 12 + -12 + -3y Combine like terms: 12 + -12 = 0 -25y = 0 + -3y -25y = -3y Solving -25y = -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. -25y + 3y = -3y + 3y Combine like terms: -25y + 3y = -22y -22y = -3y + 3y Combine like terms: -3y + 3y = 0 -22y = 0 Divide each side by '-22'. y = 0 Simplifying y = 0
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