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Simplifying -3(5y + -9) + 2(4y + 10) = 0 Reorder the terms: -3(-9 + 5y) + 2(4y + 10) = 0 (-9 * -3 + 5y * -3) + 2(4y + 10) = 0 (27 + -15y) + 2(4y + 10) = 0 Reorder the terms: 27 + -15y + 2(10 + 4y) = 0 27 + -15y + (10 * 2 + 4y * 2) = 0 27 + -15y + (20 + 8y) = 0 Reorder the terms: 27 + 20 + -15y + 8y = 0 Combine like terms: 27 + 20 = 47 47 + -15y + 8y = 0 Combine like terms: -15y + 8y = -7y 47 + -7y = 0 Solving 47 + -7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + -7y = 0 + -47 Combine like terms: 47 + -47 = 0 0 + -7y = 0 + -47 -7y = 0 + -47 Combine like terms: 0 + -47 = -47 -7y = -47 Divide each side by '-7'. y = 6.714285714 Simplifying y = 6.714285714
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