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Simplifying -4(5y + -7) + 3(3y + 7) = 0 Reorder the terms: -4(-7 + 5y) + 3(3y + 7) = 0 (-7 * -4 + 5y * -4) + 3(3y + 7) = 0 (28 + -20y) + 3(3y + 7) = 0 Reorder the terms: 28 + -20y + 3(7 + 3y) = 0 28 + -20y + (7 * 3 + 3y * 3) = 0 28 + -20y + (21 + 9y) = 0 Reorder the terms: 28 + 21 + -20y + 9y = 0 Combine like terms: 28 + 21 = 49 49 + -20y + 9y = 0 Combine like terms: -20y + 9y = -11y 49 + -11y = 0 Solving 49 + -11y = 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 + -11y = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -11y = 0 + -49 -11y = 0 + -49 Combine like terms: 0 + -49 = -49 -11y = -49 Divide each side by '-11'. y = 4.454545455 Simplifying y = 4.454545455
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