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Simplifying 6(2y + 3) + -3(5y + -2) = 0 Reorder the terms: 6(3 + 2y) + -3(5y + -2) = 0 (3 * 6 + 2y * 6) + -3(5y + -2) = 0 (18 + 12y) + -3(5y + -2) = 0 Reorder the terms: 18 + 12y + -3(-2 + 5y) = 0 18 + 12y + (-2 * -3 + 5y * -3) = 0 18 + 12y + (6 + -15y) = 0 Reorder the terms: 18 + 6 + 12y + -15y = 0 Combine like terms: 18 + 6 = 24 24 + 12y + -15y = 0 Combine like terms: 12y + -15y = -3y 24 + -3y = 0 Solving 24 + -3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -3y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -3y = 0 + -24 -3y = 0 + -24 Combine like terms: 0 + -24 = -24 -3y = -24 Divide each side by '-3'. y = 8 Simplifying y = 8
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