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Simplifying -5(3y + -8) + 4(2y + 6) = 0 Reorder the terms: -5(-8 + 3y) + 4(2y + 6) = 0 (-8 * -5 + 3y * -5) + 4(2y + 6) = 0 (40 + -15y) + 4(2y + 6) = 0 Reorder the terms: 40 + -15y + 4(6 + 2y) = 0 40 + -15y + (6 * 4 + 2y * 4) = 0 40 + -15y + (24 + 8y) = 0 Reorder the terms: 40 + 24 + -15y + 8y = 0 Combine like terms: 40 + 24 = 64 64 + -15y + 8y = 0 Combine like terms: -15y + 8y = -7y 64 + -7y = 0 Solving 64 + -7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + -7y = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -7y = 0 + -64 -7y = 0 + -64 Combine like terms: 0 + -64 = -64 -7y = -64 Divide each side by '-7'. y = 9.142857143 Simplifying y = 9.142857143
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