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Simplifying -4(4y + -6) + 3(3y + 7) = 0 Reorder the terms: -4(-6 + 4y) + 3(3y + 7) = 0 (-6 * -4 + 4y * -4) + 3(3y + 7) = 0 (24 + -16y) + 3(3y + 7) = 0 Reorder the terms: 24 + -16y + 3(7 + 3y) = 0 24 + -16y + (7 * 3 + 3y * 3) = 0 24 + -16y + (21 + 9y) = 0 Reorder the terms: 24 + 21 + -16y + 9y = 0 Combine like terms: 24 + 21 = 45 45 + -16y + 9y = 0 Combine like terms: -16y + 9y = -7y 45 + -7y = 0 Solving 45 + -7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -7y = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -7y = 0 + -45 -7y = 0 + -45 Combine like terms: 0 + -45 = -45 -7y = -45 Divide each side by '-7'. y = 6.428571429 Simplifying y = 6.428571429
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