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Simplifying -3(5y + -6) + 2(3y + 7) = 0 Reorder the terms: -3(-6 + 5y) + 2(3y + 7) = 0 (-6 * -3 + 5y * -3) + 2(3y + 7) = 0 (18 + -15y) + 2(3y + 7) = 0 Reorder the terms: 18 + -15y + 2(7 + 3y) = 0 18 + -15y + (7 * 2 + 3y * 2) = 0 18 + -15y + (14 + 6y) = 0 Reorder the terms: 18 + 14 + -15y + 6y = 0 Combine like terms: 18 + 14 = 32 32 + -15y + 6y = 0 Combine like terms: -15y + 6y = -9y 32 + -9y = 0 Solving 32 + -9y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -9y = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -9y = 0 + -32 -9y = 0 + -32 Combine like terms: 0 + -32 = -32 -9y = -32 Divide each side by '-9'. y = 3.555555556 Simplifying y = 3.555555556
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