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Simplifying -4(4y + -9) + 3(3y + 10) = 0 Reorder the terms: -4(-9 + 4y) + 3(3y + 10) = 0 (-9 * -4 + 4y * -4) + 3(3y + 10) = 0 (36 + -16y) + 3(3y + 10) = 0 Reorder the terms: 36 + -16y + 3(10 + 3y) = 0 36 + -16y + (10 * 3 + 3y * 3) = 0 36 + -16y + (30 + 9y) = 0 Reorder the terms: 36 + 30 + -16y + 9y = 0 Combine like terms: 36 + 30 = 66 66 + -16y + 9y = 0 Combine like terms: -16y + 9y = -7y 66 + -7y = 0 Solving 66 + -7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + -7y = 0 + -66 Combine like terms: 66 + -66 = 0 0 + -7y = 0 + -66 -7y = 0 + -66 Combine like terms: 0 + -66 = -66 -7y = -66 Divide each side by '-7'. y = 9.428571429 Simplifying y = 9.428571429
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