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Simplifying -5 + -5(5y + 4) = 7(-4y + 3) + -4 Reorder the terms: -5 + -5(4 + 5y) = 7(-4y + 3) + -4 -5 + (4 * -5 + 5y * -5) = 7(-4y + 3) + -4 -5 + (-20 + -25y) = 7(-4y + 3) + -4 Combine like terms: -5 + -20 = -25 -25 + -25y = 7(-4y + 3) + -4 Reorder the terms: -25 + -25y = 7(3 + -4y) + -4 -25 + -25y = (3 * 7 + -4y * 7) + -4 -25 + -25y = (21 + -28y) + -4 Reorder the terms: -25 + -25y = 21 + -4 + -28y Combine like terms: 21 + -4 = 17 -25 + -25y = 17 + -28y Solving -25 + -25y = 17 + -28y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '28y' to each side of the equation. -25 + -25y + 28y = 17 + -28y + 28y Combine like terms: -25y + 28y = 3y -25 + 3y = 17 + -28y + 28y Combine like terms: -28y + 28y = 0 -25 + 3y = 17 + 0 -25 + 3y = 17 Add '25' to each side of the equation. -25 + 25 + 3y = 17 + 25 Combine like terms: -25 + 25 = 0 0 + 3y = 17 + 25 3y = 17 + 25 Combine like terms: 17 + 25 = 42 3y = 42 Divide each side by '3'. y = 14 Simplifying y = 14
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