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Simplifying -3(5y + -10) + 2(3y + 5) = 0 Reorder the terms: -3(-10 + 5y) + 2(3y + 5) = 0 (-10 * -3 + 5y * -3) + 2(3y + 5) = 0 (30 + -15y) + 2(3y + 5) = 0 Reorder the terms: 30 + -15y + 2(5 + 3y) = 0 30 + -15y + (5 * 2 + 3y * 2) = 0 30 + -15y + (10 + 6y) = 0 Reorder the terms: 30 + 10 + -15y + 6y = 0 Combine like terms: 30 + 10 = 40 40 + -15y + 6y = 0 Combine like terms: -15y + 6y = -9y 40 + -9y = 0 Solving 40 + -9y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -9y = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -9y = 0 + -40 -9y = 0 + -40 Combine like terms: 0 + -40 = -40 -9y = -40 Divide each side by '-9'. y = 4.444444444 Simplifying y = 4.444444444
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