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Simplifying 3y + -1(-4 + -4y) = -1(y + 5) + 25 3y + (-4 * -1 + -4y * -1) = -1(y + 5) + 25 3y + (4 + 4y) = -1(y + 5) + 25 Reorder the terms: 4 + 3y + 4y = -1(y + 5) + 25 Combine like terms: 3y + 4y = 7y 4 + 7y = -1(y + 5) + 25 Reorder the terms: 4 + 7y = -1(5 + y) + 25 4 + 7y = (5 * -1 + y * -1) + 25 4 + 7y = (-5 + -1y) + 25 Reorder the terms: 4 + 7y = -5 + 25 + -1y Combine like terms: -5 + 25 = 20 4 + 7y = 20 + -1y Solving 4 + 7y = 20 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 4 + 7y + y = 20 + -1y + y Combine like terms: 7y + y = 8y 4 + 8y = 20 + -1y + y Combine like terms: -1y + y = 0 4 + 8y = 20 + 0 4 + 8y = 20 Add '-4' to each side of the equation. 4 + -4 + 8y = 20 + -4 Combine like terms: 4 + -4 = 0 0 + 8y = 20 + -4 8y = 20 + -4 Combine like terms: 20 + -4 = 16 8y = 16 Divide each side by '8'. y = 2 Simplifying y = 2
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