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Simplifying 3(4y + 7) + -4(y + -7) = 0 Reorder the terms: 3(7 + 4y) + -4(y + -7) = 0 (7 * 3 + 4y * 3) + -4(y + -7) = 0 (21 + 12y) + -4(y + -7) = 0 Reorder the terms: 21 + 12y + -4(-7 + y) = 0 21 + 12y + (-7 * -4 + y * -4) = 0 21 + 12y + (28 + -4y) = 0 Reorder the terms: 21 + 28 + 12y + -4y = 0 Combine like terms: 21 + 28 = 49 49 + 12y + -4y = 0 Combine like terms: 12y + -4y = 8y 49 + 8y = 0 Solving 49 + 8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 8y = 0 + -49 Combine like terms: 49 + -49 = 0 0 + 8y = 0 + -49 8y = 0 + -49 Combine like terms: 0 + -49 = -49 8y = -49 Divide each side by '8'. y = -6.125 Simplifying y = -6.125
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