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Simplifying -3(5y + -7) + 2(4y + 6) = 0 Reorder the terms: -3(-7 + 5y) + 2(4y + 6) = 0 (-7 * -3 + 5y * -3) + 2(4y + 6) = 0 (21 + -15y) + 2(4y + 6) = 0 Reorder the terms: 21 + -15y + 2(6 + 4y) = 0 21 + -15y + (6 * 2 + 4y * 2) = 0 21 + -15y + (12 + 8y) = 0 Reorder the terms: 21 + 12 + -15y + 8y = 0 Combine like terms: 21 + 12 = 33 33 + -15y + 8y = 0 Combine like terms: -15y + 8y = -7y 33 + -7y = 0 Solving 33 + -7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -7y = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -7y = 0 + -33 -7y = 0 + -33 Combine like terms: 0 + -33 = -33 -7y = -33 Divide each side by '-7'. y = 4.714285714 Simplifying y = 4.714285714
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