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Simplifying 3(5 + -1y) + -2(3y + -4) = 0 (5 * 3 + -1y * 3) + -2(3y + -4) = 0 (15 + -3y) + -2(3y + -4) = 0 Reorder the terms: 15 + -3y + -2(-4 + 3y) = 0 15 + -3y + (-4 * -2 + 3y * -2) = 0 15 + -3y + (8 + -6y) = 0 Reorder the terms: 15 + 8 + -3y + -6y = 0 Combine like terms: 15 + 8 = 23 23 + -3y + -6y = 0 Combine like terms: -3y + -6y = -9y 23 + -9y = 0 Solving 23 + -9y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -9y = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -9y = 0 + -23 -9y = 0 + -23 Combine like terms: 0 + -23 = -23 -9y = -23 Divide each side by '-9'. y = 2.555555556 Simplifying y = 2.555555556
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