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Simplifying -4(5y + -7) + 3(4y + 5) = 0 Reorder the terms: -4(-7 + 5y) + 3(4y + 5) = 0 (-7 * -4 + 5y * -4) + 3(4y + 5) = 0 (28 + -20y) + 3(4y + 5) = 0 Reorder the terms: 28 + -20y + 3(5 + 4y) = 0 28 + -20y + (5 * 3 + 4y * 3) = 0 28 + -20y + (15 + 12y) = 0 Reorder the terms: 28 + 15 + -20y + 12y = 0 Combine like terms: 28 + 15 = 43 43 + -20y + 12y = 0 Combine like terms: -20y + 12y = -8y 43 + -8y = 0 Solving 43 + -8y = 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 + -8y = 0 + -43 Combine like terms: 43 + -43 = 0 0 + -8y = 0 + -43 -8y = 0 + -43 Combine like terms: 0 + -43 = -43 -8y = -43 Divide each side by '-8'. y = 5.375 Simplifying y = 5.375
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