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Simplifying -4(6y + -10) + -1y = -3(y + -5) Reorder the terms: -4(-10 + 6y) + -1y = -3(y + -5) (-10 * -4 + 6y * -4) + -1y = -3(y + -5) (40 + -24y) + -1y = -3(y + -5) Combine like terms: -24y + -1y = -25y 40 + -25y = -3(y + -5) Reorder the terms: 40 + -25y = -3(-5 + y) 40 + -25y = (-5 * -3 + y * -3) 40 + -25y = (15 + -3y) Solving 40 + -25y = 15 + -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. 40 + -25y + 3y = 15 + -3y + 3y Combine like terms: -25y + 3y = -22y 40 + -22y = 15 + -3y + 3y Combine like terms: -3y + 3y = 0 40 + -22y = 15 + 0 40 + -22y = 15 Add '-40' to each side of the equation. 40 + -40 + -22y = 15 + -40 Combine like terms: 40 + -40 = 0 0 + -22y = 15 + -40 -22y = 15 + -40 Combine like terms: 15 + -40 = -25 -22y = -25 Divide each side by '-22'. y = 1.136363636 Simplifying y = 1.136363636
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