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Simplifying -4(3y + -7) + 3(2y + 5) = 0 Reorder the terms: -4(-7 + 3y) + 3(2y + 5) = 0 (-7 * -4 + 3y * -4) + 3(2y + 5) = 0 (28 + -12y) + 3(2y + 5) = 0 Reorder the terms: 28 + -12y + 3(5 + 2y) = 0 28 + -12y + (5 * 3 + 2y * 3) = 0 28 + -12y + (15 + 6y) = 0 Reorder the terms: 28 + 15 + -12y + 6y = 0 Combine like terms: 28 + 15 = 43 43 + -12y + 6y = 0 Combine like terms: -12y + 6y = -6y 43 + -6y = 0 Solving 43 + -6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + -6y = 0 + -43 Combine like terms: 43 + -43 = 0 0 + -6y = 0 + -43 -6y = 0 + -43 Combine like terms: 0 + -43 = -43 -6y = -43 Divide each side by '-6'. y = 7.166666667 Simplifying y = 7.166666667
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