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Simplifying -4(4y + -9) + 3(3y + 5) = 0 Reorder the terms: -4(-9 + 4y) + 3(3y + 5) = 0 (-9 * -4 + 4y * -4) + 3(3y + 5) = 0 (36 + -16y) + 3(3y + 5) = 0 Reorder the terms: 36 + -16y + 3(5 + 3y) = 0 36 + -16y + (5 * 3 + 3y * 3) = 0 36 + -16y + (15 + 9y) = 0 Reorder the terms: 36 + 15 + -16y + 9y = 0 Combine like terms: 36 + 15 = 51 51 + -16y + 9y = 0 Combine like terms: -16y + 9y = -7y 51 + -7y = 0 Solving 51 + -7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + -7y = 0 + -51 Combine like terms: 51 + -51 = 0 0 + -7y = 0 + -51 -7y = 0 + -51 Combine like terms: 0 + -51 = -51 -7y = -51 Divide each side by '-7'. y = 7.285714286 Simplifying y = 7.285714286
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