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Simplifying -4(6y + -7) + -1y = -3(y + -2) Reorder the terms: -4(-7 + 6y) + -1y = -3(y + -2) (-7 * -4 + 6y * -4) + -1y = -3(y + -2) (28 + -24y) + -1y = -3(y + -2) Combine like terms: -24y + -1y = -25y 28 + -25y = -3(y + -2) Reorder the terms: 28 + -25y = -3(-2 + y) 28 + -25y = (-2 * -3 + y * -3) 28 + -25y = (6 + -3y) Solving 28 + -25y = 6 + -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. 28 + -25y + 3y = 6 + -3y + 3y Combine like terms: -25y + 3y = -22y 28 + -22y = 6 + -3y + 3y Combine like terms: -3y + 3y = 0 28 + -22y = 6 + 0 28 + -22y = 6 Add '-28' to each side of the equation. 28 + -28 + -22y = 6 + -28 Combine like terms: 28 + -28 = 0 0 + -22y = 6 + -28 -22y = 6 + -28 Combine like terms: 6 + -28 = -22 -22y = -22 Divide each side by '-22'. y = 1 Simplifying y = 1
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