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Simplifying -3(5y + -10) + 2(4y + 9) = 0 Reorder the terms: -3(-10 + 5y) + 2(4y + 9) = 0 (-10 * -3 + 5y * -3) + 2(4y + 9) = 0 (30 + -15y) + 2(4y + 9) = 0 Reorder the terms: 30 + -15y + 2(9 + 4y) = 0 30 + -15y + (9 * 2 + 4y * 2) = 0 30 + -15y + (18 + 8y) = 0 Reorder the terms: 30 + 18 + -15y + 8y = 0 Combine like terms: 30 + 18 = 48 48 + -15y + 8y = 0 Combine like terms: -15y + 8y = -7y 48 + -7y = 0 Solving 48 + -7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -7y = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -7y = 0 + -48 -7y = 0 + -48 Combine like terms: 0 + -48 = -48 -7y = -48 Divide each side by '-7'. y = 6.857142857 Simplifying y = 6.857142857
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