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Simplifying -3(5y + -6) + 2(4y + 5) = 0 Reorder the terms: -3(-6 + 5y) + 2(4y + 5) = 0 (-6 * -3 + 5y * -3) + 2(4y + 5) = 0 (18 + -15y) + 2(4y + 5) = 0 Reorder the terms: 18 + -15y + 2(5 + 4y) = 0 18 + -15y + (5 * 2 + 4y * 2) = 0 18 + -15y + (10 + 8y) = 0 Reorder the terms: 18 + 10 + -15y + 8y = 0 Combine like terms: 18 + 10 = 28 28 + -15y + 8y = 0 Combine like terms: -15y + 8y = -7y 28 + -7y = 0 Solving 28 + -7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -7y = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -7y = 0 + -28 -7y = 0 + -28 Combine like terms: 0 + -28 = -28 -7y = -28 Divide each side by '-7'. y = 4 Simplifying y = 4
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