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Simplifying -4(4y + -8) + 3(3y + 10) = 0 Reorder the terms: -4(-8 + 4y) + 3(3y + 10) = 0 (-8 * -4 + 4y * -4) + 3(3y + 10) = 0 (32 + -16y) + 3(3y + 10) = 0 Reorder the terms: 32 + -16y + 3(10 + 3y) = 0 32 + -16y + (10 * 3 + 3y * 3) = 0 32 + -16y + (30 + 9y) = 0 Reorder the terms: 32 + 30 + -16y + 9y = 0 Combine like terms: 32 + 30 = 62 62 + -16y + 9y = 0 Combine like terms: -16y + 9y = -7y 62 + -7y = 0 Solving 62 + -7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-62' to each side of the equation. 62 + -62 + -7y = 0 + -62 Combine like terms: 62 + -62 = 0 0 + -7y = 0 + -62 -7y = 0 + -62 Combine like terms: 0 + -62 = -62 -7y = -62 Divide each side by '-7'. y = 8.857142857 Simplifying y = 8.857142857
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