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Simplifying -4(6y + -10) + -1y = -4(y + -3) Reorder the terms: -4(-10 + 6y) + -1y = -4(y + -3) (-10 * -4 + 6y * -4) + -1y = -4(y + -3) (40 + -24y) + -1y = -4(y + -3) Combine like terms: -24y + -1y = -25y 40 + -25y = -4(y + -3) Reorder the terms: 40 + -25y = -4(-3 + y) 40 + -25y = (-3 * -4 + y * -4) 40 + -25y = (12 + -4y) Solving 40 + -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. 40 + -25y + 4y = 12 + -4y + 4y Combine like terms: -25y + 4y = -21y 40 + -21y = 12 + -4y + 4y Combine like terms: -4y + 4y = 0 40 + -21y = 12 + 0 40 + -21y = 12 Add '-40' to each side of the equation. 40 + -40 + -21y = 12 + -40 Combine like terms: 40 + -40 = 0 0 + -21y = 12 + -40 -21y = 12 + -40 Combine like terms: 12 + -40 = -28 -21y = -28 Divide each side by '-21'. y = 1.333333333 Simplifying y = 1.333333333
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