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Simplifying -4(5y + -7) + 3(4y + 7) = 0 Reorder the terms: -4(-7 + 5y) + 3(4y + 7) = 0 (-7 * -4 + 5y * -4) + 3(4y + 7) = 0 (28 + -20y) + 3(4y + 7) = 0 Reorder the terms: 28 + -20y + 3(7 + 4y) = 0 28 + -20y + (7 * 3 + 4y * 3) = 0 28 + -20y + (21 + 12y) = 0 Reorder the terms: 28 + 21 + -20y + 12y = 0 Combine like terms: 28 + 21 = 49 49 + -20y + 12y = 0 Combine like terms: -20y + 12y = -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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