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Simplifying 7(3 + y) = 6(y + -4) (3 * 7 + y * 7) = 6(y + -4) (21 + 7y) = 6(y + -4) Reorder the terms: 21 + 7y = 6(-4 + y) 21 + 7y = (-4 * 6 + y * 6) 21 + 7y = (-24 + 6y) Solving 21 + 7y = -24 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 21 + 7y + -6y = -24 + 6y + -6y Combine like terms: 7y + -6y = 1y 21 + 1y = -24 + 6y + -6y Combine like terms: 6y + -6y = 0 21 + 1y = -24 + 0 21 + 1y = -24 Add '-21' to each side of the equation. 21 + -21 + 1y = -24 + -21 Combine like terms: 21 + -21 = 0 0 + 1y = -24 + -21 1y = -24 + -21 Combine like terms: -24 + -21 = -45 1y = -45 Divide each side by '1'. y = -45 Simplifying y = -45
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