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Simplifying 6(y + 5) + -3(4y + 2) = 0 Reorder the terms: 6(5 + y) + -3(4y + 2) = 0 (5 * 6 + y * 6) + -3(4y + 2) = 0 (30 + 6y) + -3(4y + 2) = 0 Reorder the terms: 30 + 6y + -3(2 + 4y) = 0 30 + 6y + (2 * -3 + 4y * -3) = 0 30 + 6y + (-6 + -12y) = 0 Reorder the terms: 30 + -6 + 6y + -12y = 0 Combine like terms: 30 + -6 = 24 24 + 6y + -12y = 0 Combine like terms: 6y + -12y = -6y 24 + -6y = 0 Solving 24 + -6y = 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 + -6y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -6y = 0 + -24 -6y = 0 + -24 Combine like terms: 0 + -24 = -24 -6y = -24 Divide each side by '-6'. y = 4 Simplifying y = 4
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