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Simplifying 3(2y + 3) + -4(y + 4) = 0 Reorder the terms: 3(3 + 2y) + -4(y + 4) = 0 (3 * 3 + 2y * 3) + -4(y + 4) = 0 (9 + 6y) + -4(y + 4) = 0 Reorder the terms: 9 + 6y + -4(4 + y) = 0 9 + 6y + (4 * -4 + y * -4) = 0 9 + 6y + (-16 + -4y) = 0 Reorder the terms: 9 + -16 + 6y + -4y = 0 Combine like terms: 9 + -16 = -7 -7 + 6y + -4y = 0 Combine like terms: 6y + -4y = 2y -7 + 2y = 0 Solving -7 + 2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2y = 0 + 7 2y = 0 + 7 Combine like terms: 0 + 7 = 7 2y = 7 Divide each side by '2'. y = 3.5 Simplifying y = 3.5
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