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Simplifying 3(7y + 4) = -4(y + 2) Reorder the terms: 3(4 + 7y) = -4(y + 2) (4 * 3 + 7y * 3) = -4(y + 2) (12 + 21y) = -4(y + 2) Reorder the terms: 12 + 21y = -4(2 + y) 12 + 21y = (2 * -4 + y * -4) 12 + 21y = (-8 + -4y) Solving 12 + 21y = -8 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 12 + 21y + 4y = -8 + -4y + 4y Combine like terms: 21y + 4y = 25y 12 + 25y = -8 + -4y + 4y Combine like terms: -4y + 4y = 0 12 + 25y = -8 + 0 12 + 25y = -8 Add '-12' to each side of the equation. 12 + -12 + 25y = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 25y = -8 + -12 25y = -8 + -12 Combine like terms: -8 + -12 = -20 25y = -20 Divide each side by '25'. y = -0.8 Simplifying y = -0.8
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