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Simplifying -4(4y + -5) + 3(3y + 6) = 0 Reorder the terms: -4(-5 + 4y) + 3(3y + 6) = 0 (-5 * -4 + 4y * -4) + 3(3y + 6) = 0 (20 + -16y) + 3(3y + 6) = 0 Reorder the terms: 20 + -16y + 3(6 + 3y) = 0 20 + -16y + (6 * 3 + 3y * 3) = 0 20 + -16y + (18 + 9y) = 0 Reorder the terms: 20 + 18 + -16y + 9y = 0 Combine like terms: 20 + 18 = 38 38 + -16y + 9y = 0 Combine like terms: -16y + 9y = -7y 38 + -7y = 0 Solving 38 + -7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -7y = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -7y = 0 + -38 -7y = 0 + -38 Combine like terms: 0 + -38 = -38 -7y = -38 Divide each side by '-7'. y = 5.428571429 Simplifying y = 5.428571429
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