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Simplifying -4(4y + -5) + 3(3y + 5) = 0 Reorder the terms: -4(-5 + 4y) + 3(3y + 5) = 0 (-5 * -4 + 4y * -4) + 3(3y + 5) = 0 (20 + -16y) + 3(3y + 5) = 0 Reorder the terms: 20 + -16y + 3(5 + 3y) = 0 20 + -16y + (5 * 3 + 3y * 3) = 0 20 + -16y + (15 + 9y) = 0 Reorder the terms: 20 + 15 + -16y + 9y = 0 Combine like terms: 20 + 15 = 35 35 + -16y + 9y = 0 Combine like terms: -16y + 9y = -7y 35 + -7y = 0 Solving 35 + -7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -7y = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -7y = 0 + -35 -7y = 0 + -35 Combine like terms: 0 + -35 = -35 -7y = -35 Divide each side by '-7'. y = 5 Simplifying y = 5
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