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Simplifying 7y + 3(7 + -1y) = -1(y + 4) 7y + (7 * 3 + -1y * 3) = -1(y + 4) 7y + (21 + -3y) = -1(y + 4) Reorder the terms: 21 + 7y + -3y = -1(y + 4) Combine like terms: 7y + -3y = 4y 21 + 4y = -1(y + 4) Reorder the terms: 21 + 4y = -1(4 + y) 21 + 4y = (4 * -1 + y * -1) 21 + 4y = (-4 + -1y) Solving 21 + 4y = -4 + -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. 21 + 4y + y = -4 + -1y + y Combine like terms: 4y + y = 5y 21 + 5y = -4 + -1y + y Combine like terms: -1y + y = 0 21 + 5y = -4 + 0 21 + 5y = -4 Add '-21' to each side of the equation. 21 + -21 + 5y = -4 + -21 Combine like terms: 21 + -21 = 0 0 + 5y = -4 + -21 5y = -4 + -21 Combine like terms: -4 + -21 = -25 5y = -25 Divide each side by '5'. y = -5 Simplifying y = -5
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