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Simplifying 7y + -4 + 2(3y + 4) = -3(y + 2) Reorder the terms: 7y + -4 + 2(4 + 3y) = -3(y + 2) 7y + -4 + (4 * 2 + 3y * 2) = -3(y + 2) 7y + -4 + (8 + 6y) = -3(y + 2) Reorder the terms: -4 + 8 + 7y + 6y = -3(y + 2) Combine like terms: -4 + 8 = 4 4 + 7y + 6y = -3(y + 2) Combine like terms: 7y + 6y = 13y 4 + 13y = -3(y + 2) Reorder the terms: 4 + 13y = -3(2 + y) 4 + 13y = (2 * -3 + y * -3) 4 + 13y = (-6 + -3y) Solving 4 + 13y = -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. 4 + 13y + 3y = -6 + -3y + 3y Combine like terms: 13y + 3y = 16y 4 + 16y = -6 + -3y + 3y Combine like terms: -3y + 3y = 0 4 + 16y = -6 + 0 4 + 16y = -6 Add '-4' to each side of the equation. 4 + -4 + 16y = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 16y = -6 + -4 16y = -6 + -4 Combine like terms: -6 + -4 = -10 16y = -10 Divide each side by '16'. y = -0.625 Simplifying y = -0.625
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