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Simplifying -4(y + -7) + 3(2y + -1) = 0 Reorder the terms: -4(-7 + y) + 3(2y + -1) = 0 (-7 * -4 + y * -4) + 3(2y + -1) = 0 (28 + -4y) + 3(2y + -1) = 0 Reorder the terms: 28 + -4y + 3(-1 + 2y) = 0 28 + -4y + (-1 * 3 + 2y * 3) = 0 28 + -4y + (-3 + 6y) = 0 Reorder the terms: 28 + -3 + -4y + 6y = 0 Combine like terms: 28 + -3 = 25 25 + -4y + 6y = 0 Combine like terms: -4y + 6y = 2y 25 + 2y = 0 Solving 25 + 2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 2y = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 2y = 0 + -25 2y = 0 + -25 Combine like terms: 0 + -25 = -25 2y = -25 Divide each side by '2'. y = -12.5 Simplifying y = -12.5
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